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the theorems of generic flatness and generic freeness state that under certain hypotheses, a sheaf of modules on a scheme is flat or free. They are
Generic_flatness
Scheme theory concept
called faithfully flat if it is both surjective and flat. Two basic intuitions regarding flat morphisms are: flatness is a generic property; and the failure
Flat_morphism
three lists of generic and genericized trademarks are: marks that were originally legally protected trademarks, but have been genericized and have lost
List of generic and genericized trademarks
List_of_generic_and_genericized_trademarks
Algebraic structure in ring theory
study of flatness to the case of local rings. They are often expressed by saying that flatness is a local property. The definition of a flat morphism
Flat_module
Mathematical technique in algebraic geometry
Noetherian induction. It has many applications, including the proof of generic flatness and the proof that higher direct images of coherent sheaves under proper
Dévissage
Generic flat stone usually used for paving
A flagstone, or flag, is a generic flat stone, sometimes cut in regular rectangular or square shape and usually used for paving slabs or walkways, patios
Flagstone
not require k to be uncountable. Quillen's original short proof uses generic flatness. Quillen, D. (1969). "On the endomorphism ring of a simple module over
Quillen's_lemma
Koszul complex Spectrum of a ring Zariski topology Kähler differential Generic flatness Irrelevant ideal Locally ringed space Coherent sheaf Invertible sheaf
List of algebraic geometry topics
List_of_algebraic_geometry_topics
Use of the pronoun you to refer to an unspecified person
place of one, the singular impersonal pronoun, in colloquial speech. The generic you is primarily a colloquial substitute for one. For instance, "Brushing
Generic_you
This article lists a number of common generic forms in place names in the British Isles, their meanings and some examples of their use. The study of place
List of generic forms in place names in the British Isles
List_of_generic_forms_in_place_names_in_the_British_Isles
Respirator with a rubber face seal
Filters may be contained in cartridges or canisters; there are also flexible flat and pancake-style filters (see illustrations). Filters are usually mounted
Elastomeric_respirator
Species of fish
lights, but are not often eaten because of their green-colored flesh. The generic name Ablennes – formerly misspelled Athlennes – means 'without mucosity'
Flat_needlefish
Amusement ride
Bumper cars or dodgems are the generic names for a type of flat amusement ride consisting of multiple small electrically powered cars which draw power
Bumper_cars
Domain at the highest level of the DNS hierarchy
domain structure as consisting of generic top-level domains and two-letter country code top-level domains. The generic domains listed at that time were
Top-level_domain
British politician (born 1982)
in flats wrapped in flammable materials, and 3.6 million had fire-related defects and faced a wait of 10 years before they could sell their flat or get
Robert_Jenrick
2024 Indian film
construction". Onmanorama. Retrieved 1 May 2024. {{cite news}}: |author1= has generic name (help) ETimes.in (5 July 2023). "Prithviraj Sukumaran-Basil Joseph's
Guruvayoor_Ambalanadayil
discrete valuation ring whose spectrum has one closed point and one open (generic) point. We glue these spectra together by identifying their open points
Flat_topology
American dark comedy drama television series
writing despite repeated challenges. Initially answering the question with a generic response, Ava changes her mind and reaffirms that comedy writing is a difficult
Hacks
Semiconductor equipment
recipes for products. The SECS (SEMI Equipment Communications Standard)/GEM (Generic Equipment Model) standards do all this in a defined way. Developed by the
SECS/GEM
British actress (born 1960)
Alamy". www.alamy.com. Retrieved 9 June 2022. {{cite web}}: |last= has generic name (help) Wikimedia Commons has media related to Kristin Scott Thomas
Kristin_Scott_Thomas
original on April 30, 2024. Retrieved May 1, 2024. {{cite web}}: |last= has generic name (help) "Melvin b/w Come Back". Numero Group. Archived from the original
Numero_Group_discography
Topics referred to by the same term
body, the front of the head. Face may also refer to: Face (geometry), a flat (planar) surface that forms part of the boundary of a solid object Face (hieroglyph)
Face_(disambiguation)
Extinct genus of arthropods
plana derives directly from the Latin word plana, to mean "flat", relating the overall flatness of this species. Liwia is a member of the order nektaspida
Liwia
Concept in algebraic geometry
5, Matsumura, Commutative Ring Theory (1989). D. Gaitsgory's notes on flatness and smoothness at http://www.math.harvard.edu/~gaitsgde/Schemes_2009/BR/SmoothMaps
Smooth_scheme
Foot arch deformity
the foot (rolling inwards), although the term 'flat foot' is still applicable as it is a somewhat generic term. Muscular training of the feet is helpful
Flat_feet
Self-contained housing unit occupying part of a building
stories tall, and with outdoor parking space, while apartment is more generic and may also include luxury condominiums. In Japanese English loanwords
Apartment
Protestant Reformation ad fundum to the bottom i.e., "bottoms up!" (during a generic toast) or "back to the basics", depending on context. ad hoc to this i
List_of_Latin_phrases_(full)
Historic site in Queensland, Australia
and stucco infill panels. The name of the building, Syncarpia, is the generic name for Turpentine which is a type of timber used in ship building and
Julius_Street_Flats
Sometimes music festivals and concerts also host amusement park rides. Flat rides are usually those that move their passengers on a plane generally parallel
List_of_amusement_rides
The same would apply to the generic she, bringing a female image to mind. She has traditionally been used as a generic pronoun when making generalizations
Gender neutrality in languages with gendered third-person pronouns
Gender_neutrality_in_languages_with_gendered_third-person_pronouns
Company
social media to revenue". internet RETAILER. {{cite web}}: |author= has generic name (help) "Top 500 Guide". internet RETAILER. Retrieved 19 October 2011
J&P_Cycles
2026 outbreak on cruise ship
showing symptoms, and he died on board on 11 April, initially attributed to generic natural causes. The ship stopped at the British Overseas Territory of Tristan
MV Hondius hantavirus outbreak
MV_Hondius_hantavirus_outbreak
American multinational technology company
of Cohorts File System Firebase Firebase Studio Firebase Cloud Messaging FlatBuffers Flutter Freebase Gadgets Ganeti Gears Gerrit Global Cache GLOP gRPC
Mathematical function, inverse of an exponential function
440 Hz then the note B-flat has a frequency of 466 Hz. The interval between A and B-flat is a semitone, as is the one between B-flat and B (frequency 493 Hz)
Logarithm
Family of beetles
represented on all continents except Antarctica, and is most diverse at both the generic and species levels in the Old World tropics. Silvanids generally are small
Silvanidae
System for defining and representing engineering tolerances
ISBN 978-0-7918-3192-2. "GD&T, Geometric Dimensioning and Tolerancing, GD&T, Flatness, Circularity, Flatness Tolerance, Circularity Tolerance". cobanengineering.com. Retrieved
Geometric dimensioning and tolerancing
Geometric_dimensioning_and_tolerancing
were classed K 87–106, quickly recoded to KC to avoid confusion with generic flat wagons. When that traffic dried up the wagons were used interchangeably
Victorian Railways flat wagons
Victorian_Railways_flat_wagons
Prime Minister of the United Kingdom from 1979 to 1990
metaphor followed her throughout the rest of her career, and would become a generic sobriquet for other strong-willed female politicians. Thatcher became prime
Margaret_Thatcher
Form of recreational fishing
Duluth News Tribune. Retrieved 2021-02-17. {{cite web}}: |first= has generic name (help)CS1 maint: numeric names: authors list (link) "Sons of Santiago"
Flats_fishing
Mexican manufacturing company
PPG's flat glass unit for $750 million". U.S. Archived from the original on 2022-10-04. Retrieved 2025-11-06. {{cite news}}: |first= has generic name (help)
Vitro
1998 film by Christopher Nolan
Tony Rayns felt that the film's climax was uninspired, saying that "the generic pay off is a little disappointing after the edgy, character based scenes
Following
American actor (born 1973)
Fructose Adventures of Annoying Orange Henry Applesauce (voice) Episode: "Generic Holiday Special" 2012 Kick Buttowski: Suburban Daredevil Larry Wilder (voice)
Jim_Parsons
Coffee movement emphasizing quality
concept of different origin countries to coffee consumption, beyond a generic cup of coffee. Fueled in large part by market competition between Colombian
Third-wave_coffee
Extinct family of molluscs
moderately involute shell with a compressed trapezoidal whorl section, nearly flat ventral and lateral areas, and slight dorsal impression. The suture has a
Centroceratidae
September 27, 2017. Retrieved September 27, 2017. {{cite web}}: Cite uses generic title (help) "Wayback Machine" (PDF). ocgov.net. Archived from the original
List of New York fire departments
List_of_New_York_fire_departments
Flat, geometric art style associated with Big Tech
and popularly (including in myriad Internet memes) as too minimalistic, generic, lazy, overused, and attempting to sanitize public perception of big tech
Corporate_Memphis
Display devices or content having horizontal resolution of approximately 2,000 pixels
2K resolution is a generic term for display devices or content having a horizontal resolution of approximately 2,000 pixels. In the movie projection industry
2K_resolution
English actress and singer
know". whattowatch.com. Retrieved 16 July 2024. {{cite web}}: |last= has generic name (help) "WOMAN'S HOUR – Light Programme – 8 July 1963 – BBC Genome"
Marti_Webb
Physical theory of the cosmos
observable universe, in the same way that it drives the geometry to flatness. The flatness problem (also known as the oldness problem) is an observational
Big_Bang
Data interface description language
ITU-T X.697 - JavaScript Object Notation Encoding Rules (JER) RFC 3641 - Generic String Encoding Rules (GSER) Karg, S (2012). "Understanding BACnet MS/TP
ASN.1
List of responses to the #MeToo movement
De Pauw to face stalking charges". vrtnws.be. {{cite web}}: |last= has generic name (help) Antwerpen rouwt en protesteert met stille tocht voor vermoorde
International response to the MeToo movement
International_response_to_the_MeToo_movement
Indian political family in Tamil Nadu
is the richest". NDTV. Retrieved 4 June 2012. {{cite news}}: |last= has generic name (help) PMO (3 September 2011). "DECLARATION OF ASSETS AND LIABILITIES
Karunanidhi_family
Duggan Chris Swanson vs. John James vs. Mike Duggan Generic Democrat vs. Mike Cox vs. Mike Duggan Generic Democrat vs. John James vs. Mike Duggan 2026 United
2026 Michigan gubernatorial election
2026_Michigan_gubernatorial_election
Period in Argentine cinema history
technical process but also as the arena where ideological frameworks and generic conventions were established. The institutionalization of narrative followed
Golden Age of Argentine cinema
Golden_Age_of_Argentine_cinema
Compact astronomical body
curiosity; it was not until the 1960s that theoretical work showed they were a generic prediction of general relativity. The first widely accepted black hole
Black_hole
the length of the Food and Drug Administration's approval process for generic drugs, stated that progress was being made with the Obama Administration
Governorship_of_Charlie_Baker
original on 2013-08-25. Retrieved 27 August 2013. {{cite news}}: |author= has generic name (help) "Drones: Archaeology's Newest Tool to Combat Looting". news
List of unmanned aerial vehicle applications
List_of_unmanned_aerial_vehicle_applications
1967 studio album by Vanilla Fudge
heavy metal". Louder. Retrieved June 14, 2025. {{cite web}}: |last4= has generic name (help) Collins, Paul. Vanilla Fudge [1967 - Vanilla Fudge] at AllMusic
Vanilla_Fudge_(album)
Processes by which whistles make sound
A.; Kurniawan, D.; Knotts, B.D.; Novak, J.M. (2002). "Whistles with a Generic Side Branch: Production and Suppression". Journal of Sound and Vibration
Physics_of_whistles
Concept in algebraic geometry
geometry and computational geometry, general position is a notion of genericity for a set of points, or other geometric objects. It means the general
General_position
Argentine filmmaker (born 1963)
Eugenie Brinkema, for instance, describes Irreversible as "ethically, generically, subjectively" disruptive: "the rape [...] is real, it is private, it
Gaspar_Noé
2025 Indian film by Mani Ratnam
great production design and superb cinematography, Mani Ratnam’s film is a generic gangster drama that makes you grope in the dark for its beating heart."
Thug_Life_(2025_film)
Ethnic group native to Saint-Domingue
peoples found in Saint-Domingue: The Bambaras. Bambara was often used as a generic term for African slaves. European traders used Bambara as a term for defining
Saint-Domingue_Creoles
Extinct subfamily of molluscs
medlicottiids. Genera of the Uddenitinae have narrow discoidal shells with narrow flat or sometimes grooved venters. Sutures are goniatitic to ceratitic with rounded
Uddenitinae
Economic policy debate
erroneous payments, negotiating for lower prescription drug prices and use of generics, improving efficiencies in the Medicaid program, altering doctor incentives
Deficit reduction in the United States
Deficit_reduction_in_the_United_States
English rock band (1976–1980)
Their sound during their early inception as Warsaw was described as fairly generic and "undistinguished punk-inflected hard-rock". Critic Simon Reynolds observed
Joy_Division
Species of lizard
trade. The generic name, Uroplatus, is a Latinization of two Greek words: "ourá" (οὐρά) meaning "tail" and "platys" (πλατύς) meaning "flat". Its specific
Lined_flat-tail_gecko
Position of the body used for sexual activities
common in pornography. If one person is penetrated by two objects, it is generically called double penetration (DP). Double penetration of the vagina, anus
Sex_position
Extinct genus of endemic Paleogene European artiodactyls
Retrieved 2023-08-30. Colbert, Edwin H. (1935). "The Proper Use of the Generic Name Nestoritherium". Journal of Mammalogy. 16 (3): 233–234. doi:10.1093/jmammal/16
Anoplotherium
Search engine from Google
steps to defend its trademark, in an effort to prevent it from becoming a generic trademark. This has led to lawsuits, threats of lawsuits, and the use of
Google_Search
Height/width proportion of an image
DSLRs and their non-SLR derivatives, the term APS-C has become an almost generic term. The major camera manufacturers, including Canon, Sony, and Nikon
Aspect_ratio_(image)
Social media platform owned by Meta
encourages users to make tags both specific and relevant, rather than tagging generic words like "photo", to make photographs stand out and to attract like-minded
2025 Indian film by Vishal Furia
momentum going is Kajol’s fully committed performance that elevates this generic material to a surprising degree of watchability, and without any clear
Maa_(2025_film)
names with a prefix (generic element) followed by a specific element; road names with a specific element followed by a suffix (generic element); road names
Road_names_in_Singapore
In algebra, module with a finite generating set
weakening an assumption to the finite case (e.g., the characterization of flatness with the Tor functor). An example of a link between finite generation and
Finitely_generated_module
Japanese religion
Shinto in Japan is in the 8th-century text, Nihon Shoki. Here, it may be a generic term for popular belief, or alternatively reference Taoism, as many Taoist
Shinto
Aspect of photography history
was an Angénieux trademark before losing exclusive status. The original generic term is "inverted telephoto". A telephoto lens (multiple inventions, 1891)
History of the single-lens reflex camera
History_of_the_single-lens_reflex_camera
2021 film by Denis Villeneuve
the cultural and religious complexities of the book and opted for a more generic portrayal of people of color without specific representation from Middle
Dune_(2021_film)
2025 Indian film by Sekhar Kammula
gave 3/5 stars and wrote "While Kuberaa carefully steers away from the generic nature of commercial entertainers, the end seems like an easy way out and
Kuberaa
Group of standard library class templates
Collections.Generic.PriorityQueue in .NET, or std::collections::BinaryHeap in Rust. The std::flat_set<T> data structure implements a "flat set", which
Sequence_container_(C++)
American heavy strategic bomber
Control of Conventional and Unconventional Aircraft Configurations: A Generic Approach, Stoughton, Wisconsin: Books on Demand, ISBN 978-3-83112-982-9
Northrop_B-2_Spirit
2026 film by Andrew Stanton
Richard Lawson of The Hollywood Reporter felt the plots being "so broad and generic" and considered "much more powerful to see really detailed, specific stories
In the Blink of an Eye (2026 film)
In_the_Blink_of_an_Eye_(2026_film)
Jean-Christophe P. (2003). "Large Scale Production of Carbon Nanotube Transistors: A Generic Platforms for Chemical Sensors". Mat. Res. Soc. Symp. Proc. 762: Q.12.7
Potential applications of carbon nanotubes
Potential_applications_of_carbon_nanotubes
2025 Indian film by Mudassar Aziz
today’s times, that’s enough." India Today noted "Mere Husband Ki Biwi is a generic Hindi film that checks all the boxes but doesn't necessarily impress..
Mere_Husband_Ki_Biwi
Galerella sp.) from the Miocene Nakali Formation (Kenya), and consider the generic placement of purported fossils of members of the genus Herpestes smaller
2025_in_paleomammalogy
Combined executable file for multiple processor types or operating systems
the FATBNSEA.COM package.) Elliott, John C. (2012-06-20) [2005-01-05]. "Generic CP/M". Seasip.info. Archived from the original on 2021-11-17. Retrieved
Fat_binary
Species of insectivorous African mammal
phylogenetically the most basal of the four extant hyaenidae species. The generic name Proteles is derived from two words of Greek origin: Ancient Greek:
Aardwolf
Species of bovid artiodactyl mammal
with each having a different designation rather than there being a single generic word covering both sexes. Thus: in Arapaho: bii (bison cow), henéécee (bison
American_bison
defensive walls, castles, bunkers and fortified gateways. Petrary is the generic term for medieval stone throwing siege engines. "The Battering Ram - lordsandladies"
List_of_siege_engines
Extinct genus of birds
making it one of the largest phorusrhacids and carnivorous birds known. The generic name Devincenzia comes from Uruguayan museum director and zoologist Garibaldi
Devincenzia
Archived from the original (PDF) on March 24, 2018. {{cite web}}: Cite uses generic title (help) "Hindu Succession Act, 1956" (PDF). chanda.nic.in. Archived
Timeline of women's legal rights (other than voting) in the 20th century
Timeline_of_women's_legal_rights_(other_than_voting)_in_the_20th_century
American serial killer (1946–1989)
innocence. Other significant obstacles for law enforcement were Bundy's generic, essentially anonymous physical features, and a curious chameleon-like
Ted_Bundy
Homotopy sphere Lens space Spherical 3-manifold Einstein manifold Ricci-flat manifold G2 manifold Kähler manifold Calabi–Yau manifold Hyperkähler manifold
List_of_manifolds
Ancient Egyptian tomb
depicted wearing a heart amulet. The colourful vignettes depict Kha generically, showing less customisation than either noble's books. As was typical
Tomb_of_Kha_and_Merit
falling objects, debris and inclement weather. Kepi A generic worldwide military hat with a flat, circular top and visor. First seen in central Europe
List_of_hat_styles
Property sales intermediary
stylized in all-capital letters, and advise against the use of realtor as a generic synonym for real estate agent. Independent style guides vary on treatment
Real_estate_agent
supplemented with more recent publications to create this one. Genus: The generic name of the taxon, sourced to its description publication. Authors: Full
List of Mesozoic bird-line archosaur genera (A–B)
List_of_Mesozoic_bird-line_archosaur_genera_(A–B)
5, Episode 3) (2023) The High Fructose Adventures of Annoying Orange: "Generic Holiday Special" (Season 1, Episode 19) (2012) "Orange Carol" (Season 1
Lists_of_animated_specials
Cancer of the myeloid line of blood cells
the form of leukemia cutis; Sweet's syndrome; or non-specific findings: flat lesions (macules), raised lesion papules, pyoderma gangrenosum and vasculitis
Acute_myeloid_leukemia
Belgian television soap opera series
when characters were being admitted. For a long time, the location was a generic set without a specific name, and there were frequent changes between different
Thuis
GENERIC FLATNESS
GENERIC FLATNESS
Girl/Female
French German
Of the race of women.
Male
English
Middle English form of Anglo-Saxon Ceneric, CENRIC means "keen power."
Boy/Male
German, Teutonic
Estate Ruler; Rules an Estate
Male
German
Old German name, GOMERIC means "man-power."
Girl/Female
Shakespearean
Tragedy of King Lear' Daughter to King Lear.
Girl/Female
Hindu, Indian
Charming
Male
Swedish
Swedish variant spelling of Scandinavian Henrik, HENRIC means "home-ruler."
Biblical
beginning
Girl/Female
Indian
Female
Welsh
Medieval Welsh name, probably GENERYS means "white lady."Â
Female
English
(ΓÎνεσις) English name of Greek origin, derived from the word genesis, GENESIS means "creation, generation, origin, source," from gignesthai "to be born," which is related to genos "birth, descent, race." In the bible, this is the name of the first book of the Old Testament.
Boy/Male
Scottish Welsh
Royal chieftain. Surname.
Boy/Male
Australian, Hawaiian, Hebrew
Origin
Girl/Female
Biblical American Hebrew
Beginning.
Boy/Male
British, English
Royal
Biblical
Naamah can refer to a figure in , the wife of Solomon or a demon, beautiful; agreeable
Girl/Female
American, Australian, Biblical, Chinese, Christian, Greek, Hawaiian, Hebrew
Beginning; Origin
Girl/Female
Australian, French, German
Of the Race of Women; White Wave
Boy/Male
Teutonic
Rules an estate.
Male
German
Altered form of German Almeric, EMERIC means "work-power."
GENERIC FLATNESS
GENERIC FLATNESS
Girl/Female
Indian
Shade, Shadow
Boy/Male
African, American, Anglo, Australian, British, Christian, English
From the Town by the Lake
Boy/Male
Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Telugu
Lord Vishnu
Boy/Male
Tamil
Obedient
Male
Portuguese
Portuguese form of Roman Latin Verissimus, VERÃSSIMO means "very true."
Boy/Male
Biblical
Rest, a guide.
Girl/Female
Greek
A Fury.
Boy/Male
Australian, Scottish
Lively
Boy/Male
American, British, Christian, Danish, Dutch, English, French, Hebrew, Indian, Swedish
Vowed; Dedicated; Devoted; Gods Disciple; Initiated; Consecrated
Girl/Female
Arabic, Muslim
Rare
GENERIC FLATNESS
GENERIC FLATNESS
GENERIC FLATNESS
GENERIC FLATNESS
GENERIC FLATNESS
a.
Not restrained or limited to a precise import; not specific; vague; indefinite; lax in signification; as, a loose and general expression.
n.
Alt. of Gentrie
n.
The chief officer of the post-office department of a government. In the United States the postmaster-general is a member of the cabinet.
a.
Alt. of Generical
pl.
of Postmaster-general
a.
Same as Genetical.
a.
The roll of the drum which calls the troops together; as, to beat the general.
a.
Comprehending many species or individuals; not special or particular; including all particulars; as, a general inference or conclusion.
a.
Having a relation to all; common to the whole; as, Adam, our general sire.
a.
Pertaining to, or derived from, the ivy (Hedera); as, hederic acid, an acid of the acetylene series.
n.
The quality of being generic.
n.
The second law officer in the government of Great Britain; also, a similar officer under the United States government, who is associated with the attorney-general; also, the chief law officer of some of the States.
a.
Pertaining to a genus or kind; relating to a genus, as distinct from a species, or from another genus; as, a generic description; a generic difference; a generic name.
a.
Common to many, or the greatest number; widely spread; prevalent; extensive, though not universal; as, a general opinion; a general custom.
a.
Usual; common, on most occasions; as, his general habit or method.
a.
Relating to a genus or kind; pertaining to a whole class or order; as, a general law of animal or vegetable economy.