K-theory and perfection

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arxiv 2304.01421 v1 pith:YI4HXXHL submitted 2023-04-04 math.KT

Kevin Coulembier This is my paper · ORCID

classification math.KT

keywords perfectionalgebrasalternativecommutativek-theoryproofrecentresults

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abstract

We review some recent results on $K$-theory of perfection of commutative $\mF_p$-algebras and provide an alternative proof.

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On the motivic cohomology of some singular rings
math.AG 2026-08 conditional novelty 6.0 of 10

The non-A1-invariant motivic cohomology groups are now explicitly computed for finite chain rings, truncated polynomial rings, perfect and semiperfect rings, valuation rings, and commutative C*-algebras.