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4. Relative Projective and Injective Dimensions.

Author

Bennis, Driss, García Rozas, J. R., and Oyonarte, Luis

Subjects
*PROJECTIVE geometry, *INJECTIVE functions, *MODULES (Algebra), *GORENSTEIN rings, *ENDOMORPHISM rings
Abstract

We study the concepts of the 𝒫C-projective and the ℐC-injective dimensions of a module in the noncommutative case, weakening the condition ofCbeing semidualizing. We give the relations between these dimensions and theC-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 ofC. [ABSTRACT FROM PUBLISHER]

Published
2016
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