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- Title
The balance of relative Ext groups defined by semidualizing modules.
- Authors
Beigi, K. Abolfath; Divaani-Aazar, K.; Tousi, M.
- Abstract
Let R be a commutative Noetherian ring with identity and C a semidualizing module for R. Let C (R) and ℐ C (R) denote, respectively, the classes of C -projective and C -injective R -modules. We show that their induced Ext bifunctors Ext C i (− , ∼) and Ext ℐ C i (− , ∼) coincide for all i ≥ 0 if and only if C is projective. Also, we provide some other criteria for C to be projective by using some special cotorsion theories.
- Subjects
COMMUTATIVE rings; GORENSTEIN rings; NOETHERIAN rings
- Publication
Journal of Algebra & Its Applications, 2023, Vol 22, Issue 11, p1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498823502262