Gorenstein n-X-injective and n-X-flat modules with respect to a special finitely presented module
Commutative Algebra
2021-01-13 v3
Abstract
Let R be a ring, X a class of R-modules and n>1 an integer. In this paper, via special finitely presented modules, we introduce the concepts of Gorenstein n-X-injective and n-X-flat modules. And aside, we obtain some equivalent properties of these modules on n-X-coherent rings. Then, we investigate the relations among Gorenstein n-X-injective, n-X-flat, injective and flat modules on X-FC-rings (i.e., self n-X-injective and n-X-coherent rings). Several known results are generalized to this new context
Cite
@article{arxiv.1910.06754,
title = {Gorenstein n-X-injective and n-X-flat modules with respect to a special finitely presented module},
author = {Mostafa Amini and Arij Benkhadra and Driss Bennis},
journal= {arXiv preprint arXiv:1910.06754},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1907.12599