English

Strongly Gorenstein projective, injective, and flat modules

Commutative Algebra 2007-05-23 v1

Abstract

In this paper, we study a particular case of Gorenstein projective, injective, and flat modules, which we call, respectively, strongly Gorenstein projective, injective, and flat modules. These last three modules give us a new characterization of the first modules, and confirm that there is an analogy between the notion of Gorenstein projective, injective, and flat modules and the notion of the usual projective, injective, and flat modules.

Keywords

Cite

@article{arxiv.math/0606770,
  title  = {Strongly Gorenstein projective, injective, and flat modules},
  author = {Driss Bennis and Najib Mahdou},
  journal= {arXiv preprint arXiv:math/0606770},
  year   = {2007}
}