Triangular objects and systematic K-theory

Thomas Hüttemann; Zuhong Zhang

doi:10.1080/00927872.2016.1226870

Triangular objects and systematic K-theory

Thomas Hüttemann, Zuhong Zhang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Queen's University Belfast

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	2757-2774
Number of pages	18
Journal	Communications in Algebra
Volume	45
Issue number	7
DOIs	https://doi.org/10.1080/00927872.2016.1226870
Publication status	Published - 3 Jul 2017

Keywords

Lower triangular category
Quillen K-theory
systematic module
systematic ring

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Hüttemann, T., & Zhang, Z. (2017). Triangular objects and systematic K-theory. Communications in Algebra, 45(7), 2757-2774. https://doi.org/10.1080/00927872.2016.1226870

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Triangular objects and systematic K-theory

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Keywords

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