Pure-minimal chain complexes

Lars Winther Christensen; Peder Thompson

doi:10.4171/rsmup/29

JournalsrsmupVol. 142pp. 41–67

Pure-minimal chain complexes

Lars Winther Christensen
Texas Tech University, Lubbock, USA
Peder Thompson
Texas Tech University, Lubbock, USA and The Norwegian University of Science and Technology (NTNU), Trondheim, Norway

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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.

Cite this article

Lars Winther Christensen, Peder Thompson, Pure-minimal chain complexes. Rend. Sem. Mat. Univ. Padova 142 (2019), pp. 41–67

DOI 10.4171/RSMUP/29