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・ Grotesque (disambiguation)
・ Grotesque (novel)
・ Grotesque (The X-Files)
・ Grotesque body
・ Grotesque dance
・ Grotesque Impalement
・ Grotesque Wedlock
・ Grotesquerie
・ Groth
・ Grothe
・ Grothendieck category
・ Grothendieck connection
・ Grothendieck construction
・ Grothendieck duality
・ Grothendieck existence theorem
Grothendieck group
・ Grothendieck inequality
・ Grothendieck local duality
・ Grothendieck space
・ Grothendieck spectral sequence
・ Grothendieck topology
・ Grothendieck trace formula
・ Grothendieck universe
・ Grothendieck's connectedness theorem
・ Grothendieck's Galois theory
・ Grothendieck's relative point of view
・ Grothendieck's Tôhoku paper
・ Grothendieck–Katz p-curvature conjecture
・ Grothendieck–Ogg–Shafarevich formula
・ Grothendieck–Riemann–Roch theorem


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Grothendieck group : ウィキペディア英語版
Grothendieck group
In mathematics, the Grothendieck group construction in abstract algebra constructs an abelian group from a commutative monoid in the most universal way. It takes its name from the more general construction in category theory, introduced by Alexander Grothendieck in his fundamental work of the mid-1950s that resulted in the development of K-theory, which led to his proof of the Grothendieck-Riemann-Roch theorem. This article treats both constructions.
==Grothendieck group of a commutative monoid==


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