Gorenstein n-X-injective and n-X-flat modules with respect to a special finitely presented module
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
- Publication:
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arXiv e-prints
- Pub Date:
- October 2019
- DOI:
- 10.48550/arXiv.1910.06754
- arXiv:
- arXiv:1910.06754
- Bibcode:
- 2019arXiv191006754A
- Keywords:
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- Mathematics - Commutative Algebra
- E-Print:
- arXiv admin note: text overlap with arXiv:1907.12599