Localization, monoid sets and K-theory

Ian Coley, Charles Weibel

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)754-779
Number of pages26
JournalJournal of Algebra
StatePublished - Jan 15 2023

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


  • Algebraic K-theory
  • Monoid sets
  • Pointed monoids


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