Solutions of minus partial ordering equations over von Neumann regular rings

• Autorzy: Yu Guan , Zhaojia Tong
• Języki publikacji: EN

Abstrakty

EN

In 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.

Słowa kluczowe

EN

von Neumann regular ring; Minus partial ordering; Linear equation

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

otrzymano

2014-03-04

zaakceptowano

2015-01-07

online

2015-02-06

Twórcy

autor

Yu Guan

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

autor

Zhaojia Tong

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

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Identyfikatory

DOI

10.1515/math-2015-0022