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Element of algebraic structure
In mathematics, a Garside element is an element of an algebraic structure such as a monoid that has several desirable properties. Formally, if M is a
Garside_element
English singer
Katrina Jane Garside (born 8 July 1968) is an English singer, songwriter, and visual artist. She is known for her musical projects in an eclectic range
KatieJane_Garside
Surname list
Hamilton Garside (1855–1927), Scottish trade unionist William Garside (1872–1951), Scottish footballer Garside classification Garside element Gartside
Garside
British neofolk musical duo
and others. PopMatters said of the album: "Garside’s breathy, nearly childlike voice is the dominant element of The Ventriloquist, gentle acoustic guitars
Ruby_Throat
Argentine footballer (born 1987)
Archived from the original on 3 March 2016. Retrieved 26 February 2016. Garside, Kevin (29 March 2010). "Arsenal v Barcelona: Lionel Messi Making Case
Lionel_Messi
Season of television series
Explained by Creator Eric Kripke". Screen Rant. Retrieved June 15, 2024. Garside, Megan (June 13, 2024). "Is This Surprise A-list Appearance in 'The Boys'
The_Boys_season_4
Upcoming DC Studios film by Craig Gillespie
Archived from the original on March 11, 2026. Retrieved March 11, 2026. Garside, Megan (July 16, 2025). "James Gunn reveals new comic-book accurate Supergirl
Supergirl_(2026_film)
2024 American film by Osgood Perkins
Hollywood Reporter.{{cite web}}: CS1 maint: deprecated archival service (link) Garside, Megan (June 13, 2024). "Nicolas Cage's upcoming horror movie debuts to
Longlegs
Dehornoy, François Digne, Eddy Godelle, Daan Krammer, Jean. "Foundations of Garside Theory | EMS Press". ems.press. doi:10.4171/139. Retrieved 2025-05-22.{{cite
Matsumoto's theorem (group theory)
Matsumoto's_theorem_(group_theory)
Market town in Bassetlaw, Nottinghamshire, England
of Worksop Windsor chairs. Timber firms in the town included Benjamin Garside's woodyard and Godley and Goulding, situated between Eastgate and the railway
Worksop
Central deity in Aztec religion
(1967). Gods, Graves, and Scholars: The Story of Archaeology. Translated by Garside, E. B.; Wilkins, Sophie (2nd ed.). New York: Alfred A. Knopf. p. 411. Matos
Xipe_Totec
Video game developer
Archived from the original on 18 November 2017. Retrieved 17 November 2017. Garside, Juliette (25 March 2014). "Who are the Candy Crush millionaires?". The
King_(company)
{\displaystyle O\left(\max\{|w|_{X}^{2n-3},|w'|_{X}^{2}\}\right)} . The Garside algorithm for solving the conjugacy problem in braid groups has a similar
Whitehead's_algorithm
Russian business oligarch (born 1966)
billionaire Abramovich loses legal challenge against EU sanctions". Reuters. Garside, Juliette (23 November 2025). "Safe haven to sanctions: how Jersey sheltered
Roman_Abramovich
2020 film directed by Jeff Fowler
Archived from the original on December 21, 2024. Retrieved December 21, 2024. Garside, Megan (January 29, 2025). "Sonic 4: Everything we know so far about Sonic
Sonic_the_Hedgehog_(film)
Cast of American crime drama TV series
HUD scam using $500,000 of Soprano family money to buy several homes on Garside Street in Mount Pleasant, Newark, New Jersey and on Frelinghuysen Ave in
List of The Sopranos characters
List_of_The_Sopranos_characters
British racing driver (born 1985)
12 December 2006. The first black driver named to race in Formula One Garside, Kevin; Britten, Nick (13 September 2006). "Formula One's first black driver
Lewis_Hamilton
American superhero media franchise
Archived from the original on April 27, 2019. Retrieved April 28, 2019. Garside, Megan (September 24, 2025). "When does Marvel Zombies take place on the
Marvel_Cinematic_Universe
Architectural element
Merriam-Webster.com Dictionary. Merriam-Webster. OCLC 1032680871. Bliss, Garside & Haslam 2008. Pevsner, Honour & Fleming 1992. This article incorporates
Stilted_arch
Superhero media franchise
Hollywood. Archived from the original on July 8, 2025. Retrieved July 7, 2025. Garside, Megan (June 3, 2026). "James Gunn confirms real-time jump for Man of Tomorrow
DC_Universe_(franchise)
Erica Garcia Janet Gardner (Vixen; mid-1980s) Suzi Gardner (L7) KatieJane Garside (Daisy Chainsaw, Queenadreena) Teri Gender Bender (Le Butcherettes) Anna
List_of_female_rock_singers
Archived from the original on October 4, 2025. Retrieved December 4, 2025. Garside, Megan (July 24, 2025). "60 Fantastic Four: First Steps Easter eggs and
Features of the Marvel Cinematic Universe
Features_of_the_Marvel_Cinematic_Universe
Family of DNA sequences found in prokaryotic organisms
945D. doi:10.1038/ncomms1937. PMID 22781758. Gesner EM, Schellenberg MJ, Garside EL, George MM, Macmillan AM (June 2011). "Recognition and maturation of
CRISPR
Congolese art collector and businessman (1972–2020)
Archived from the original on 27 March 2015. Retrieved 13 April 2016. Garside, Juliette; Pegg, David; Osborne, Hilary (20 January 2020). "Revealed: how
Sindika_Dokolo
Prime Minister of the United Kingdom from 2019 to 2022
November 2020. Retrieved 5 May 2021. Conn, David; Pegg, David; Evans, Rob; Garside, Juliette; Lawrence, Felicity (15 November 2020). "'Chumocracy': how Covid
Boris_Johnson
2011 video game
concerns about the novelty of the full motion video "wear[ing] thin". Garside, Juliette (13 May 2011). "British rival to FarmVille maker gains more high-profile
I_Am_Playr
Worldwide economic depression (1929–1939)
Nineteen-Thirties, as Seen by Contemporaries and in Light of History (1986) online Garside, W.R. ed. Capitalism in crisis: International responses to the Great Depression
Great_Depression
transcript". Frontline. PBS. Retrieved 12 July 2008. Graham-Harrison, Emma; Garside, Juliette (24 November 2019). "'Allow no escapes': leak exposes reality
History_of_China
Fisher, MB, BCh, (23140), RAFO. G. V. Forrest (109482), RAFVR. K. V. Garside, DFC, (36107). R. W. Gray (72234), RAFVR. P. R. S. Gutteridge (43218).
1946 New Year Honours (Mentioned in Dispatches)
1946_New_Year_Honours_(Mentioned_in_Dispatches)
Type of check valve
reached the production line for automobile size RCEs. According to David W. Garside, who developed the Norton line of Wankel-powered motorcycles, data from
Reed_valve
Family of infinite discrete groups
{\displaystyle \vert i-j\vert >1} . Artin–Tits monoids are eligible for Garside methods based on the investigation of their divisibility relations, and
Artin–Tits_group
Political philosophy based on tradition
people: England, 1914–1951 (Oxford, 2010).[ISBN missing][page needed] Garside, W. R.; Greaves, J. J. (1997). "Rationalisation and Britain's Industrial
Conservatism
Infrastructure subsidiary of BT
Archived from the original on 16 November 2015. Retrieved 6 November 2015. Garside, Juliette (7 May 2012). "Why Britain's broadband is heading for the slow
Openreach
Central computer component that executes instructions
20....9M. doi:10.1109/MDT.2003.1246159. ISSN 0740-7475. S2CID 15164301. Garside, J. D.; Furber, S. B.; Chung, S-H (1999). "AMULET3 Revealed". Proceedings
Central_processing_unit
JSTOR 4091548. S2CID 145455237. McKibbin (2010). Taylor (1965), p. 176, 317. Garside, W.R.; Greaves, J.I. (1997). "Rationalisation and Britain's industrial
History_of_the_United_Kingdom
Town in Greater Manchester, England
next Prime Minister". Manchester Evening News. Retrieved 8 June 2025. Garside, Kevin (20 November 2024). "The local boy turned billionaire who saved
Rochdale
Extraction of valuable minerals or other geological materials from the Earth
from the original on 25 June 2020. Retrieved 7 July 2022. Published by M. Garside (2021-10-20). "Mining industry in Africa - statistics & facts". Statista
Mining
Magnetic iron sulfide mineral
gao.gov. Retrieved 2021-02-22. Brough, C.; Staniforth, B.; Garner, C.; Garside, R.; Colville, R.; Strongman, J.; Fletcher, J. (8 December 2023). "High
Pyrrhotite
Archived from the original on 3 August 2017. Retrieved 23 January 2024. Garside, Juliette; Harding, Luke; Pegg, David; Watt, Holly (5 April 2016). "London
List of people and organisations named in the Paradise Papers
List_of_people_and_organisations_named_in_the_Paradise_Papers
Payments made by authorized bodies to unemployed people
Sociology (3rd ed.). New York City: The Macmillan Company. p. 424. W. R. Garside (2002). British Unemployment 1919–1939: A Study in Public Policy. Cambridge
Unemployment_benefits
Fictional character
Kent Delaney Mark Ellis William Fieldhouse G. H. Frost Carl Furst Jack Garside Paul Glen Roland Green Jon Guenther Aaron Hill Paul Hofrichter Robert Hoskins
Mack_Bolan
policy since the Second World War...interventionism was a genuinely new element. The GREAT campaign of 2012 was one of the most ambitious national promotion
Foreign relations of the United Kingdom
Foreign_relations_of_the_United_Kingdom
Number line and triangular tiling's symmetry mathematical structure
of the affine symmetric group, these proofs make use of an associated Garside structure on the Artin–Tits group. Artin–Tits groups are sometimes also
Affine_symmetric_group
Gröbner bases for non-commutative algebra
Diamond Lemma". arXiv:2010.14792 [math.RA]. Lopatkin, Viktor (2021-10-12). "Garside Theory: a Composition--Diamond Lemma Point of View". arXiv:2109.07595 [math
Bergman's_diamond_lemma
Decade of the Gregorian calendar (2010–2019)
2017. Archived from the original on 13 May 2017. Retrieved 13 May 2017. Garside, Juliette (5 November 2017). "Paradise Papers leak reveals secrets of the
2010s
Accounts". The New York Times. Associated Press. Retrieved April 4, 2016. Garside, Juliette; Watt, Holly; Pegg, David (April 3, 2016). "The Panama Papers:
Panama_Papers_and_Europe
Fictional tool used by the Doctor in Doctor Who
Different From Any Before)". ScreenRant. Retrieved 18 May 2024. Megan Garside (11 December 2023). "Doctor Who's Ncuti Gatwa's sonic screwdriver has a
Sonic_screwdriver
Light of History (1986) Garraty, John A. Unemployment in History (1978) Garside, William R. Capitalism in Crisis: International Responses to the Great
Causes of the Great Depression
Causes_of_the_Great_Depression
Protein found in humans
2012.09.012. PMC 3500403. PMID 23085020. Rice L, Waters CE, Eccles J, Garside H, Sommer P, Kay P, Blackhall FH, Zeef L, Telfer B, Stratford I, Clarke
SKA2
..7..787P. doi:10.1038/nnano.2012.189. ISSN 1748-3387. PMID 23103933. Garside, Juliette (2012-10-29). "EE launches UK's first 4G mobile network". The
2012_in_science
Government COVID-19 agency in England
Department of Health and Social Care. 6 April 2020. Retrieved 23 August 2020. Garside, Juliette; Neate, Rupert (4 May 2020). "UK government 'using pandemic to
NHS_Test_and_Trace
English politician (1789–1861)
Tory but, as the Duke of Wellington noted, a strange one. He denied any element of Radicalism in his political philosophy, and regarded himself as an "ultra-Tory"
Richard_Oastler
Microtechnology
hdl:10072/62154. ISSN 1473-0197. PMID 19680583. Kricka LJ, Nozaki O, Heyner S, Garside WT, Wilding P (September 1993). "Applications of a microfabricated device
Bio-MEMS
British royal recognitions
Commander John William Forrest, (Retired). Acting Commander (S) Richard Murray Garside. Lieutenant-Commander (A) Stafford Hook. Lieutenant-Colonel Cecil Ferndale
1949_New_Year_Honours
calling on broadcaster to save BBC3". The Guardian. Retrieved 10 June 2015. Garside, Juliette (9 June 2015). "BT Sport to charge for top-flight European football
2015_in_British_television
Australian-Canadian academic
women in Montreal, such as Margret Andersen of Loyola College, Christine Garside Allen and Greta Nemiroff of Sir George Williams University, Marie-Andrée
Margaret_Gillett
British royal recognitions
Committee. Anthony Herbert Gardner, TD. For political services. Harold Garside, Principal, Ministry of Agriculture and Fisheries. Henry Arthur Geelan
1955_New_Year_Honours
British government recognitions
Carpenter (3110148). John Curd (46848). Seymour Evans (1320990). Frank Garside (122492). John Wilson Harper, DFC (141737). Michael Edward Hobson (58309)
1954_Birthday_Honours
British government recognitions
Carpenter, MV Lairds Ben, Burns & Laird Lines Ltd. (Glasgow). Florence Anne Garside, Canteen Manageress, RAF Station Weeton (Rochdale). Frank Henry Gilbert
1952_Birthday_Honours
1797 novel by Elizabeth Bonhôte
Emilia Fitzroy". Women's Print History Project. Retrieved 2025-05-14. Garside, Peter; Raven, James; Schöwerling, Rainer, eds. (2000). The English Novel
Bungay_Castle_(novel)
Annual honours in Australia
service to medicine through a range of roles. The late Allan Frederick Garside – For service to football. Marion Lorraine Gathercole – For service to
2023 King's Birthday Honours (Australia)
2023_King's_Birthday_Honours_(Australia)
British royal recognitions
Engineer Officer, British Overseas Airways Corporation. Captain Frank Ronald Garside, Senior Captain 2nd Class, British Overseas Airways Corporation. Frank
1947_New_Year_Honours
Appointments by King George VI of the United Kingdom to various orders and honours
Engineer Rear-Admiral Henry William Wildish. Captain Frederick Rodney Garside, RN The Reverend John Walter Barnwell Moore, RN Army Lieutenant-Colonel
1939_New_Year_Honours
GARSIDE ELEMENT
GARSIDE ELEMENT
Girl/Female
Spanish
Purification.
Surname or Lastname
English
English : occupational name for a watchman, from Old French garde ‘watch’, ‘protection’, a word of Germanic origin. Compare Ward 1.
Boy/Male
Irish
Intelligent; from Caiside; curly-headed.
Boy/Male
British, English
Occupational Name; Gardener
Male
Italian
Italian form of Greek Paris, probably PARIDE means "wager."Â
Boy/Male
American, British, English
Spear Fortified Town; Son of Gar
Surname or Lastname
Partial translation of Swedish Sjöberg, an ornamental name composed of the elements sjö ‘sea’ + berg ‘mountain’, ‘hill’.English
Partial translation of Swedish Sjöberg, an ornamental name composed of the elements sjö ‘sea’ + berg ‘mountain’, ‘hill’.English : from a Middle English form of an Old English feminine personal name, Sǣburh, composed of the elements sǣ ‘sea’ + burh ‘fortified place’.Possibly also English : habitational name from Seaborough in Dorset (from Old English seofon ‘seven’ + beorg ‘hill’, ‘burial mound’) or possibly from Seaborough Hall in Essex.
Boy/Male
English
Son of Gar.
Boy/Male
British, English
Spear
Surname or Lastname
English
English : from the Middle English female personal name Loveday, Old English Lēofdæg, composed of the elements lēof ‘dear’, ‘beloved’ + dæg ‘day’.English : nickname for someone who had some particular association with a ‘loveday’. According to medieval custom this was a day set aside for the reconciliation of enemies and amicable settlement of disputes.
Surname or Lastname
English (Lancashire and Yorkshire)
English (Lancashire and Yorkshire) : habitational name from Gartside or Garside in Oldham, Lancashire, apparently so named from northern Middle English garth ‘enclosure’ (Old Norse garðr) + side ‘hill slope’ (Old English sīde).
Male
Gypsy/Romani
 Probably the Romani form of Basque Garaile, GUARIL means "champion, victor."
Girl/Female
Latin
Warring.
Girl/Female
German, Teutonic
Guarded
Surname or Lastname
English
English : variant of Garside.
Surname or Lastname
Americanized spelling of Swedish Ap(p)elberg, an ornamental name composed of the elements apel ‘apple tree’ + berg ‘mountain’.English
Americanized spelling of Swedish Ap(p)elberg, an ornamental name composed of the elements apel ‘apple tree’ + berg ‘mountain’.English : the surname Applebury is recorded in England in the 19th century, perhaps a habitational name from a lost place.
Surname or Lastname
English
English : variant spelling of Darcy or possibly of Scottish Darsie, a habitational name from Dairsie in Fife.
Surname or Lastname
English (Cumbria)
English (Cumbria) : possibly a habitational name from a place named Hayston, examples of which are found in Strathclyde, Tayside, and Dyfed, or from Haystoun near Peebles in the Scottish Borders.Dutch : variant spelling of Hasten.
Male
Gaelic
Gaelic byname derived from the word cas CAISIDE means "curly(-headed.)"Â Cassidy is the Anglicized form.
Surname or Lastname
English
English : presumably a variant of Lovell, or possibly a habitational name from Lovehall in Tayside.
GARSIDE ELEMENT
GARSIDE ELEMENT
Girl/Female
Arabic
Great
Girl/Female
Gujarati, Hindu, Indian, Modern
Purity
Girl/Female
Swedish
Battle maid.
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Master of Kapil
Girl/Female
Muslim
Silken
Boy/Male
Arabic, Muslim
Unique
Girl/Female
Hindu, Indian, Malayalam
Name of a Holy River
Girl/Female
Indian
Outstanding, Awake
Male
English
Short form of English Stephen, STE means "crown."
Biblical
my lord; my prince; my song
GARSIDE ELEMENT
GARSIDE ELEMENT
GARSIDE ELEMENT
GARSIDE ELEMENT
GARSIDE ELEMENT
n.
The side of the way; the edge or border of a road or path.
adv.
Aside; away.
imp. & p. p.
of Gride
a.
Turned aside.
adv.
Out of one's thoughts; off; away; as, to put aside gloomy thoughts.
n.
Something spoken aside; as, a remark made by a stageplayer which the other players are not supposed to hear.
n.
A carbide. See Carbide
a.
Of or pertaining to the wayside; as, wayside flowers.
n.
The sprat; -- called also garvie herring, and garvock.
n.
A wayside inn.
n.
A binary compound of carbon with some other element or radical, in which the carbon plays the part of a negative; -- formerly termed carburet.
adv.
Aside; askew.
v. t.
To please; to gratify.
p. pr. & vb. n.
of Gride
v. i.
To gride. See Gride.
n.
A compound of arsenic and hydrogen, AsH3, a colorless and exceedingly poisonous gas, having an odor like garlic; arseniureted hydrogen.
e. i.
To cut with a grating sound; to cut; to penetrate or pierce harshly; as, the griding sword.
n.
A carbide.