The Sum of EP elements in a ring with involution
Rings and Algebras
2023-06-19 v1
Abstract
We present a necessary and sufficient conditions under which the sum of two EP elements in a *-ring has core inverse. As an application, we establish the conditions under which a block complex matrix with EP sub-blocks has core inverse.
Cite
@article{arxiv.2306.09779,
title = {The Sum of EP elements in a ring with involution},
author = {Huanyin Chen and Marjan Sheibani Abdolyousefi},
journal= {arXiv preprint arXiv:2306.09779},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2209.10090