Gorenstein Dimensions over Ring Homomorphisms |
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| Authors: | Wu Dejun |
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| Institution: | 1. Department of Applied Mathematics , Lanzhou University of Technology , Lanzhou , Gansu , China wudj2007@gmail.com |
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| Abstract: | In this paper, we study injective dimension and Gorenstein injective dimension over local ring homomorphisms. Some well-known results are generalized. For example, the Bass formula for Gorenstein injective dimension of complexes is extended. As applications, some characterizations of Gorenstein rings are obtained. |
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| Keywords: | Cohen factorization Gorenstein homomorphism Gorenstein injective dimension Gorenstein ring Width of complex |
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