| Strongly Gorenstein Flat Dimensions of Modules |
| Received:February 16, 2013 Revised:February 24, 2014 |
| Key Words:
strongly Gorenstein flat dimension strongly Gorenstein flat module Gorenstein FP-injective dimension Gorenstein FP-injective module.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11201377; 11261050), China Postdoctoral Science Foundation (Grant No.2013M541509) and Program of Science and Technique of Gansu Province (Grant No.1208RJZA145). |
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| Abstract: |
| In the Gorenstein homological theory, Gorenstein projective and Gorenstein injective dimensions play an important and fundamental role. In this paper, we aim at studying the closely related strongly Gorenstein flat and Gorenstein FP-injective dimensions, and show that some characterizations similar to Gorenstein homological dimensions hold for these two dimensions. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2014.03.007 |
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