Pure-minimal chain complexes
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2017
- DOI:
- 10.48550/arXiv.1801.00302
- arXiv:
- arXiv:1801.00302
- Bibcode:
- 2018arXiv180100302W
- Keywords:
-
- Mathematics - Commutative Algebra;
- 16E05;
- 16E10
- E-Print:
- Old Section 6 removed and minor edits. Final version, to appear in Rend. Semin. Mat. Univ. Padova