Further results on the EP-ness and co-EP-ness involving Mary inverses-Reference-Cited by-同舟云学术

Further results on the EP-ness and co-EP-ness involving Mary inverses

Published:2023 Issue:30 Volume:37 Page:10237-10247
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Zou Honglin¹,Zeng Yuedi²,Zhou Nan³,Xu Sanzhang⁴

Affiliation:

1. College of Basic Science, Zhejiang Shuren University, Hangzhou, China Key Laboratory of Applied Mathematics (Putian University), Fujian Province University, Putian, China

2. School of Mathematics and Finance, Putian University, Putian, China

3. College of Basic Science, Zhejiang Shuren University, Hangzhou, China

4. Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian, China

Abstract

Let R be a ring and a, d1, d2 ? R. First, we obtain several equivalent conditions for the equality aa?d1 = a?d2 a to hold, under the condition a ? R?d1 ? R?d2 . Then, when a ? R??d1 ? R??d2 , the equality ama?d1 = a?d2 am (m ? N) is also investigated by means of Drazin inverses. Next, some characterizations for the invertibility of aa?d1 ? a?d2 a are obtained. Particularly, a number of examples are given to illustrate our results.

Publisher

National Library of Serbia

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