Triangular Objects and Systematic K-Theory

Thomas Hüttemann, Zuhong Zhang

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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 languageEnglish
Pages (from-to)2757-2774
Number of pages18
JournalCommunications in Algebra
Volume45
Issue number7
Early online date07 Oct 2016
DOIs
Publication statusPublished - 2017

ASJC Scopus subject areas

  • Algebra and Number Theory

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