The K '-Theory Of Monoid Sets

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY（2021）

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摘要

This paper studies the K-theory of categories of partially cancellative monoid sets, which is better behaved than that of all finitely generated monoid sets. A number of foundational results are proved, making use of the formalism of CGW-categories due to Campbell and Zakharevich, and numerous example computations are provided.

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关键词

Algebraic K-theory, pointed monoids, monoid sets

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