Pure-minimal chain complexes
arXiv:1801.00302
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.
arXiv commentOld Section 6 removed and minor edits. Final version, to appear in Rend. Semin. Mat. Univ. Padova; 18 pp