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arXiv · 2005.01130

Further results on weighted core inverse in a ring

Sourav Das·Jajati Keshari Sahoo·Ratikanta Behera
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Abstract

The notion of the weighted core inverse in a ring with involution was introduced, recently [Mosic et al. Comm. Algebra, 2018; 46(6); 2332-2345]. In this paper, we explore new representation and characterization of the weighted core inverse of sum and difference of two weighted core invertible elements in an unital ring with involution under different conditions. Further, we discuss reverse order laws and mixed-type reverse order laws for the weighted core invertible elements in a ring.

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Sourav Das, Jajati Keshari Sahoo, Ratikanta Behera. 2020-05-03. Further results on weighted core inverse in a ring. https://arxiv.org/abs/2005.01130

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