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arXiv · 1801.00302

Pure-minimal chain complexes

Lars Winther Christensen·Peder Thompson
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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.

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Lars Winther Christensen, Peder Thompson. 2018-10-03. Pure-minimal chain complexes. https://arxiv.org/abs/1801.00302

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