On S-coherence
Commutative Algebra
2016-11-17 v1 Rings and Algebras
Abstract
Recentely, Anderson and Dumitrescu's -finiteness has attracted the interest of several authors. In this paper, we introduce the notions of -finitely presented modules and then of -coherent rings which are -versions of finitely presented modules and coherent rings, respectively. Among other results, we give an -version of the classical Chase's characterization of coherent rings. We end the paper with a brief discussion on other -versions of finitely presented modules and coherent rings. We prove that these last -versions can be characterized in terms of localization.
Keywords
Cite
@article{arxiv.1611.05067,
title = {On S-coherence},
author = {Driss Bennis and Mohammed El Hajoui},
journal= {arXiv preprint arXiv:1611.05067},
year = {2016}
}