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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
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
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
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
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
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
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
Cheapside. Chippenham is from a personal name. clare, clair I, SG plain, flat County Clare, Claregalway, Clairinsh, Loch Clair prefix Anglicisation of
List of elements in place names in the British Isles
List_of_elements_in_place_names_in_the_British_Isles
Flat, thin, and big stone
and its derivatives, there are many toponyms among them. Flagstone, a generic flat stone Headstone, placed over a grave Sandstone, type of sedimentary rock
Stone_slab
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
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
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
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
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
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
Nintendo's first console, the Color TV-Game 6, has one of the most generic names, sharing every element often repeated in other titles.
List of first generation home video game consoles
List_of_first_generation_home_video_game_consoles
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
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
A list of notable flat horse races which take place annually in Great Britain, under the authority of the British Horseracing Authority (BHA), including
List of British flat horse races
List_of_British_flat_horse_races
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)
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
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
Chairman and managing director – Oberoi Realty Limited
original on 2026-01-13. Retrieved 2026-06-27. {{cite web}}: |first= has generic name (help) "Married to THIS Bollywood actress and running a Rs 60,000-crore
Vikas_Oberoi
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
to Smith, the key emphasis in such work is the importance of form and flatness. The term was soon applied also in architecture (e.g. Frank Lloyd Wright
Formalesque
Group of fictional characters
Randor and are led by Teela and Man-At-Arms. There was a two pack of the generic Palace Guards in the Masters of the Universe Classics toyline. First appearing
List of He-Man and the Masters of the Universe characters
List_of_He-Man_and_the_Masters_of_the_Universe_characters
Swiss physicist (b. 1956)
Because the original model did not address the questions of entropy and flatness, Brandenberger and his colleagues have been working on improving it. During
Robert_Brandenberger
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
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
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
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)
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
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
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
Ancient sculptures in Sardinia (Italy)
findings and studies in progress of Nuragic pottery, formerly classified as generic barbarian ware and, as such, preserved in repositories of museums without
Giants_of_Mont'e_Prama
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
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
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
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
2006 American film
The Harvest, Lionsgate realized that was just too generic and changed it to the almost nearly as generic The Butcher. Considering the film doesn't seem to
The_Butcher_(2006_film)
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
2018 play by Lindsey Ferrentino
American Theatre. Retrieved September 20, 2019. {{cite web}}: |last= has generic name (help) Clement, Olivia (July 10, 2017). "This Ain't No Disco, Joshua
This_Flat_Earth
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
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
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
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
Gamma matrices for arbitrary Clifford algebras
in generic settings in Riemannian geometry, particularly when a spin structure can be defined. Consider a space-time of dimension d with the flat Minkowski
Higher-dimensional gamma matrices
Higher-dimensional_gamma_matrices
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
Large-screen film format
us that we could never copyright or trademark Multivision. It was too generic. It was a descriptive word. The words that you can copyright are words
IMAX
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
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++)
Russian ballet dancer, teacher and choreographer (1891–1972)
Writings on Art. Boston: G.K. Hall. pp. 455–472. {{cite book}}: |first= has generic name (help)CS1 maint: multiple names: authors list (link) See link "Unedited
Bronislava_Nijinska
Brazilian ethnic group
"sertão", meaning hinterland. During colonial times, sertão was used as a generic term to refer to all territories in the Americas that were not in the coast
Sertanejo_people
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
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)
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)
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
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
classify Golwalkar's or Savarkar's Hindu nationalism within the typology of 'generic fascism', Nazism, racism and ethnic or cultural nationalism is the unavailability
Religion_in_South_Asia
Municipality in Southern Leyte, Philippines
the sitios forming the barrio of Consolacion. Although "Burak" is the generic Cebuano term for a flower ["Buwak" in Cebuano; "Bulaklak" in Tagalog],
Sogod,_Southern_Leyte
History of a U.S. low cost airline
three on leave". Retrieved March 12, 2008. {{cite news}}: |author= has generic name (help) Jerry Chandler (2009). "FAA Fines Southwest $7.5M for Safety
History_of_Southwest_Airlines
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
Homotopy sphere Lens space Spherical 3-manifold Einstein manifold Ricci-flat manifold G2 manifold Kähler manifold Calabi–Yau manifold Hyperkähler manifold
List_of_manifolds
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
original on 2016-03-21. Retrieved 2019-06-30. {{cite web}}: Cite uses generic title (help) "TCL's Panel Manufacturer CSOT Commences Production of High
List of flat panel display manufacturers
List_of_flat_panel_display_manufacturers
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)
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
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
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
Text format for tabular data using a comma between fields
enforced to be the comma). LibreOffice Calc CSV importer is actually a more generic delimited text importer, supporting multiple separators at the same time
Comma-separated_values
Table that summarizes data from another table
raw data and can be used for decision-making. Although pivot table is a generic term, Microsoft held a trademark on the term in the United States from
Pivot_table
Legends surrounding the composer Mozart
Joseph II's reform policy (Braunbehrens, p. 232). Joseph II had feared generically "offensive" (anstössig) content, and this same vague concept is referred
Mozart_myths
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
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
Discussion of proposals to change the U.S. Social Security system
Analysis. "Wayback Machine" (PDF). www.cbo.gov. {{cite web}}: Cite uses generic title (help) "2010 Social Security Trustees Report-Page 12" (PDF). "2009
Social Security debate in the United States
Social_Security_debate_in_the_United_States
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
High-speed railway in Germany
Projektgruppe H/W Mitte. 5 October 1984. {{cite journal}}: Cite uses generic title (help) von Harlem, Dirk; Huckfeldt, Ulrich (1988). "Nach Norden,
Hanover–Würzburg high-speed railway
Hanover–Würzburg_high-speed_railway
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
Species of land snail
"Melloconcha rosacea (Iredale, 1944)". MolluscaBase. Flanders Marine Institute. Retrieved 2021-08-06. {{cite web}}: |author= has generic name (help) v t e
Melloconcha_rosacea
Camcorders produced by Sony
(PDF). 2002. "Wayback Machine" (PDF). pro.sony. {{cite web}}: Cite uses generic title (help) "Sony DXCH10 Other Cameras". www.broadcaststore.com. Retrieved
Sony_camcorders
Western Red Winter (CWRW)/Canada Eastern Hard Red Winter (CEHRW), can be "generic" (feed) and "select" for milling varies 295/245 avg. 59.2/60.3 avg. 6.6/6
Wheat_grain_classes
Games played in gambling facilities
Series/Thomson Reuters. ISBN 978-0414024861. {{cite book}}: |first1= has generic name (help)CS1 maint: multiple names: authors list (link) Gao, J.Z.; Fong
Casino_game
Type of electric guitar
and it was officially called the SG Junior. From 1966 to 1971, it had a generic SG pickguard with a soapbar P90 rather than the original dog-ear. It was
Gibson_SG_Junior
Japanese religion
Public spaces in which the kami are worshipped are often known under the generic term jinja ("kami-place"); this term applies to the location rather than
Shinto
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
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
Welsh singer (born 1940)
District Court, Judgement of 16 February 2006 at page 2; Websupp.org. "Generic Error". Archived from the original on 27 July 2011. "Tom Jones seeks injunction
Tom_Jones_(singer)
British spy thriller TV series (2022–present)
announcement". Shortlist. Retrieved 12 June 2026. {{cite web}}: |last= has generic name (help) Butler, Jack (5 May 2026). "How 'Slow Horses' Moves So Fast"
Slow_Horses
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
2012 American film by Andrew Stanton
at Giant Freakin Robot, agreed in 2023, calling John Carter "the most generic title possible ... Don't tell me that [A Princess of Mars] wouldn't have
John_Carter_(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
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
Film by Ron Howard
performance from Warwick Davis can't quite save Willow from its slow pace and generic story." On Metacritic, the film has a score of 47 out of 100 based on 12
Willow_(1988_film)
Romanian authentic folk music
materials. The most widespread instrument of pastoral life is the fluier, a generic term for shepherd flutes. In folk belief the fluier is regarded as sacred
Romanian_traditional_music
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
2005 film
from its lesbian theme, Imagine Me & You can only offer more of the same generic rom-com cliches." On Metacritic, the film has a weighted average score
Imagine_Me_&_You
South African football player
in the National First Division. He hails from Bonteheuwel on the Cape Flats. "Log into Facebook". {{cite web}}: Cite uses generic title (help) v t e
Bevan_Fransch
GENERIC FLATNESS
GENERIC FLATNESS
Male
German
Altered form of German Almeric, EMERIC means "work-power."
Boy/Male
Australian, Hawaiian, Hebrew
Origin
Boy/Male
Teutonic
Rules an estate.
Girl/Female
French German
Of the race of women.
Boy/Male
German, Teutonic
Estate Ruler; Rules an Estate
Boy/Male
Scottish Welsh
Royal chieftain. Surname.
Male
English
Middle English form of Anglo-Saxon Ceneric, CENRIC means "keen power."
Girl/Female
Indian
Female
Welsh
Medieval Welsh name, probably GENERYS means "white lady."Â
Male
Swedish
Swedish variant spelling of Scandinavian Henrik, HENRIC means "home-ruler."
Girl/Female
American, Australian, Biblical, Chinese, Christian, Greek, Hawaiian, Hebrew
Beginning; Origin
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.
Girl/Female
Shakespearean
Tragedy of King Lear' Daughter to King Lear.
Biblical
Naamah can refer to a figure in , the wife of Solomon or a demon, beautiful; agreeable
Boy/Male
British, English
Royal
Girl/Female
Biblical American Hebrew
Beginning.
Girl/Female
Australian, French, German
Of the Race of Women; White Wave
Girl/Female
Hindu, Indian
Charming
Male
German
Old German name, GOMERIC means "man-power."
Biblical
beginning
GENERIC FLATNESS
GENERIC FLATNESS
Boy/Male
Muslim
Servant of the truth (Allah)
Boy/Male
Hindu, Indian, Kannada, Marathi, Tamil, Telugu
Intelligent Jem
Boy/Male
English
Wise or red haired man.
Female
Russian
Variant spelling of Russian Zinoviya, ZINOVIA means "life of Zeus."Â
Boy/Male
Tamil
Cloud, God
Boy/Male
Biblical
A savior; a deliverer.
Girl/Female
Tamil
Harinika | ஹரீநீகாÂ
Goddess of Vasu
Boy/Male
Gujarati, Hindu, Indian, Kannada, Marathi, Tamil
Beautiful
Boy/Male
Arabic, Muslim, Sindhi
Narrator of Hadith
Boy/Male
Australian, French, Greek, Latin
Of the Sea; Warlike
GENERIC FLATNESS
GENERIC FLATNESS
GENERIC FLATNESS
GENERIC FLATNESS
GENERIC FLATNESS
a.
Usual; common, on most occasions; as, his general habit or method.
n.
The quality of being generic.
a.
Comprehending many species or individuals; not special or particular; including all particulars; as, a general inference or conclusion.
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.
Having a relation to all; common to the whole; as, Adam, our general sire.
a.
Common to many, or the greatest number; widely spread; prevalent; extensive, though not universal; as, a general opinion; a general custom.
a.
The roll of the drum which calls the troops together; as, to beat the general.
a.
Relating to a genus or kind; pertaining to a whole class or order; as, a general law of animal or vegetable economy.
a.
Alt. of Generical
a.
Not restrained or limited to a precise import; not specific; vague; indefinite; lax in signification; as, a loose and general expression.
pl.
of Postmaster-general
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.
Same as Genetical.
a.
Pertaining to, or derived from, the ivy (Hedera); as, hederic acid, an acid of the acetylene series.
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.