Localization, monoid sets and K-theory

DOI10.1016/J.JALGEBRA.2022.09.009arXiv2109.03193MaRDI QIDQ6377058

Publication date: 7 September 2021

Abstract: We develop the K-theory of sets with an action of a pointed monoid (or monoid scheme), analogous to the

K

-theory of modules over a ring (or scheme). In order to form localization sequences, we construct the quotient category of a nice regular category by a Serre subcategory.

Mathematics Subject Classification ID

Connections of semigroups with homological algebra and category theory (20M50) Equivariant (K)-theory (19L47) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Algebraic monoids (20M32)

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