Abstract
In a unitary ring with involution, we prove that each element has at most one weak group inverse if and only if each idempotent element has a unique weak group inverse. Furthermore, we define the m-weak group inverse and show some properties of m-weak group inverse.
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Acknowledgements
This research is supported by the National Natural Science Foundation of China (No. 11771076, 11871145), the Fundamental Research Funds for the Central Universities, the Postgraduate Research and Practice Innovation Program of Jiangsu Province (No. \(\hbox {KYCX18}_{-}\hbox {0053}\)).
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Zhou, Y., Chen, J. & Zhou, M. m-weak group inverses in a ring with involution. RACSAM 115, 2 (2021). https://doi.org/10.1007/s13398-020-00932-1
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DOI: https://doi.org/10.1007/s13398-020-00932-1