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- Title
GORENSTEIN n-WEAK INJECTIVE AND GORENSTEIN n-WEAK FLAT MODULES UNDER EXCELLENT EXTENSIONS.
- Authors
AMINI, M.
- Abstract
Let R be an associative ring and let n be a non-negative integer. In this paper, we consider n-super finitely presented, Gorenstein n-weak injective and Gorenstein n-weak flat modules under change of rings. For an excellent extension S ≥ R, we show that the Gorenstein n-super finitely presented dimensions (resp., weak Gorenstein n-super finitely presented dimensions) of rings R and S coincide.
- Subjects
GORENSTEIN rings; MODULES (Algebra); ASSOCIATIVE rings; INTEGERS; DIMENSION theory (Algebra)
- Publication
Journal of Mahani Mathematical Research Center, 2023, Vol 12, Issue 2, p375
- ISSN
2251-7952
- Publication type
Article
- DOI
10.22103/jmmr.2023.20075.1319