m-weak group inverses in a ring with involution

By Yukun Zhou, Jianlong Chen, Mengmeng Zhou. RACSAM, 2020

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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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/fcbd242fdf5828932f385c12fe0f790672372c5f