1. Gorenstein homological dimensions and some duality results.
- Author
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Mohammadi Aghjeh Mashhad, Fatemeh
- Subjects
GORENSTEIN rings ,HOMOLOGY theory ,LOCAL rings (Algebra) ,DUALITY theory (Mathematics) ,MODULES (Algebra) ,MATHEMATICAL bounds - Abstract
Let be a local ring and denote the Matlis duality functor. Assume that possesses a normalized dualizing complex and and are two homologically bounded complexes of -modules with finitely generated homology modules. We will show that if G-dimension of and injective dimension of are finite, then Also, we prove that if Gorenstein injective dimension of and projective dimension of are finite, then These results provide some generalizations of Suzuki's Duality Theorem and the Herzog-Zamani Duality Theorem. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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