Solutions of minus partial ordering equations over von Neumann regular rings-Reference-Cited by-同舟云学术

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Solutions of minus partial ordering equations over von Neumann regular rings

Published:2015-02-06 Issue:1 Volume:13 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Guan Yu¹,Tong Zhaojia¹

Affiliation:

1. 1Department of Mathematics, Shanghai University, 99 Shangda Road, Shanghai 200444, P.R. China

Abstract

AbstractIn this paper, we mainly derive the general solutions of two systems of minus partial ordering equations over von Neumann regular rings. Meanwhile, some special cases are correspondingly presented. As applications, we give some necessary and sufficient conditions for the existence of solutions. It can be seen that some known results can be regarded as the special cases of this paper.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2015-0022/pdf

Reference24 articles.

1. The natural partial order on a regular semigroup;Nambooripad;Proc Edinb Math Soc,1980

2. A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity Linear;Wang;Algebra Appl,2004

3. Nonnegative idempotent matrices and the minus partial order Linear;Bapat;Algebra Appl,1997

4. How to partially order regular elements;Hartwig;Math Jpn,1980

5. Some properties of matrix partial orderings Linear;Baksalary;Algebra Appl,1989

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