Abstract
We introduce and investigate the adjoint resolutions and adjoint dimensions of modules. As a consequence, we give some new characterizations of weak global dimensions of coherent rings in terms of adjoint resolutions and adjoint dimensions of modules.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11771202
Funding source: Natural Science Foundation of Jiangsu Province
Award Identifier / Grant number: BK20160771
Funding source: Nanjing Institute of Technology
Award Identifier / Grant number: CKJA201707
Funding statement: This research was supported by NSFC (No. 11771202), NSF of Jiangsu Province of China (No. BK20160771) and Nanjing Institute of Technology of China (No. CKJA201707).
Acknowledgements
The author would like to express his sincere thanks for the referee for his/her valuable comments and suggestions.
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