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On the C-flat dimension of injective modules

  • Ya-Nan Li and Zhaoyong Huang EMAIL logo
Published/Copyright: March 28, 2025
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Abstract

Let R and S be rings and let C S R be a semidualizing bimodule. We investigate the behavior of the C-flat dimension of injective left R-modules, and establish the relation among the supremum of these C-flat dimensions and the supremum of C-injective dimensions of projective left S-modules and the supremum of C-projective dimensions of injective left R-modules.

MSC 2020: 16E10; 18G20; 18G25

Award Identifier / Grant number: 12371038

Award Identifier / Grant number: 12171207

Funding statement: This research was partially supported by National Natural Science Foundation of China (Grant Nos. 12371038, 12171207).

Acknowledgements

The authors thank the referee for useful suggestions.

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Received: 2024-09-09
Revised: 2025-01-09
Accepted: 2025-01-15
Published Online: 2025-03-28

© 2025 Walter de Gruyter GmbH, Berlin/Boston

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