Further results on weighted core inverse in a ring
Rings and Algebras
2020-05-05 v1
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.
Cite
@article{arxiv.2005.01130,
title = {Further results on weighted core inverse in a ring},
author = {Sourav Das and Jajati Keshari Sahoo and Ratikanta Behera},
journal= {arXiv preprint arXiv:2005.01130},
year = {2020}
}
Comments
20 Pages