What does grothendieck group mean?
Definitions for grothendieck group
grothen·dieck group
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Wikipedia
Grothendieck group
In mathematics, the Grothendieck group, or group of differences, of a commutative monoid M is a certain abelian group. This abelian group is constructed from M in the most universal way, in the sense that any abelian group containing a homomorphic image of M will also contain a homomorphic image of the Grothendieck group of M. The Grothendieck group construction takes its name from a specific case in category theory, introduced by Alexander Grothendieck in his proof of the Grothendieck–Riemann–Roch theorem, which resulted in the development of K-theory. This specific case is the monoid of isomorphism classes of objects of an abelian category, with the direct sum as its operation.
Numerology
Chaldean Numerology
The numerical value of grothendieck group in Chaldean Numerology is: 9
Pythagorean Numerology
The numerical value of grothendieck group in Pythagorean Numerology is: 7
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"grothendieck group." Definitions.net. STANDS4 LLC, 2024. Web. 3 May 2024. <https://www.definitions.net/definition/grothendieck+group>.
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