First,Second, and Third Change of Rings Theorems for Gorenstein Homological dimensions |
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Authors: | Driss Bennis |
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Institution: | Department of Mathematics, Faculty of Science and Technology of Fez , University S. M. Ben Abdellah Fez , Morocco |
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Abstract: | In this article, we investigate the change of rings theorems for the Gorenstein dimensions over arbitrary rings. Namely, by the use of the notion of strongly Gorenstein modules, we extend the well-known first, second, and third change of rings theorems for the classical projective and injective dimensions to the Gorenstein projective and injective dimensions, respectively. Each of the results established in this article for the Gorenstein projective dimension is a generalization of a G-dimension of a finitely generated module M over a noetherian ring R. |
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Keywords: | Change of rings results Classical homological dimensions Gorenstein homological dimensions Strongly Gorenstein projective and injective modules |
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