Triangular objects and systematic K-theory
K-Theory and Homology
2019-09-12 v1
Abstract
We investigate modules over "systematic" rings. Such rings are "almost graded" and have appeared under various names in the literature; they are special cases of the G-systems of Grzeszczuk. We analyse their K-theory in the presence of conditions on the support, and explain how this generalises and unifies calculations of graded and filtered K-theory scattered in the literature. Our treatment makes systematic use of the formalism of idempotent completion and a theory of triangular objects in additive categories, leading to elementary and transparent proofs throughout.
Cite
@article{arxiv.1501.05185,
title = {Triangular objects and systematic K-theory},
author = {Thomas Huettemann and Zuhong Zhang},
journal= {arXiv preprint arXiv:1501.05185},
year = {2019}
}
Comments
20 pages