Relative Projective and Injective Dimensions |
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| Authors: | Driss Bennis Luis Oyonarte |
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| Affiliation: | 1. Department of Mathematics, Faculty of Sciences, Mohammed V University, Rabat, Morocco;2. Departamento de Matemáticas, Universidad de Almería, Almería, Spain |
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| Abstract: | We study the concepts of the 𝒫C-projective and the ?C-injective dimensions of a module in the noncommutative case, weakening the condition of C being semidualizing. We give the relations between these dimensions and the C-relative Gorenstein dimensions (GC-projective and GC-injective dimensions) of the module. Finally, we compare, in some circumstances, the global 𝒫C-projective dimension of a ring and the global dimension of the endomorphisms ring of C. |
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| Keywords: | C-projective module 𝒫 C-projective dimension Resolution |
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