Localization, monoid sets and K-theory
K-Theory and Homology
2021-09-08 v1 Category Theory
Abstract
We develop the K-theory of sets with an action of a pointed monoid (or monoid scheme), analogous to the -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.
Cite
@article{arxiv.2109.03193,
title = {Localization, monoid sets and K-theory},
author = {Ian Coley and Charles Weibel},
journal= {arXiv preprint arXiv:2109.03193},
year = {2021}
}