Pure-minimal chain complexes

Lars Winther Christensen; Peder Thompson

doi:10.4171/RSMUP/29

Pure-minimal chain complexes

Lars Winther Christensen, Peder Thompson

Mathematics and Statistics

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

5 Scopus citations

Abstract

We introduce a notion of pure-minimality for chain complexes of modules and show that it coincides with (homotopic) minimality in standard settings, while being a more useful notion for complexes of flat modules. As applications, we characterize von Neumann regular rings and left perfect rings.

Original language	English
Pages (from-to)	41-67
Number of pages	27
Journal	Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova
Volume	142
DOIs	https://doi.org/10.4171/RSMUP/29
State	Published - 2019

Keywords

16L30
Primary: 16E05
Secondary: 16E10

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10.4171/RSMUP/29

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AU - Christensen, Lars Winther

AU - Thompson, Peder

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KW - 16L30

KW - Primary: 16E05

KW - Secondary: 16E10

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U2 - 10.4171/RSMUP/29

DO - 10.4171/RSMUP/29

M3 - Article

AN - SCOPUS:85078777000

SN - 0041-8994

VL - 142

SP - 41

EP - 67

JO - Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova

JF - Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova

ER -

Pure-minimal chain complexes

Abstract

Keywords

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