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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.
ACKNOWLEDGMENT
The author was partly supported by National Natural Science Foundation of China (No. 11301242). It is a pleasure to thank the referee for thorough and useful comments.
Notes
Communicated by T. Albu.