Pure-minimal chain complexes
Commutative Algebra
2018-10-04 v3
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.
Keywords
Cite
@article{arxiv.1801.00302,
title = {Pure-minimal chain complexes},
author = {Lars Winther Christensen and Peder Thompson},
journal= {arXiv preprint arXiv:1801.00302},
year = {2018}
}
Comments
Old Section 6 removed and minor edits. Final version, to appear in Rend. Semin. Mat. Univ. Padova; 18 pp