Solutions of minus partial ordering equations over von Neumann regular rings

Yu Guan; Zhaojia Tong

Open Mathematics (2015)

  • Volume: 13, Issue: 1, page 229-238, electronic only
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Yu Guan, and Zhaojia Tong. "Solutions of minus partial ordering equations over von Neumann regular rings." Open Mathematics 13.1 (2015): 229-238, electronic only. <http://eudml.org/doc/269939>.

@article{YuGuan2015,
abstract = {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.},
author = {Yu Guan, Zhaojia Tong},
journal = {Open Mathematics},
keywords = {von Neumann regular ring; Minus partial ordering; Linear equation; minus partial ordering; linear equation},
language = {eng},
number = {1},
pages = {229-238, electronic only},
title = {Solutions of minus partial ordering equations over von Neumann regular rings},
url = {http://eudml.org/doc/269939},
volume = {13},
year = {2015},
}

TY - JOUR
AU - Yu Guan
AU - Zhaojia Tong
TI - Solutions of minus partial ordering equations over von Neumann regular rings
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - 229
EP - 238, electronic only
AB - 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.
LA - eng
KW - von Neumann regular ring; Minus partial ordering; Linear equation; minus partial ordering; linear equation
UR - http://eudml.org/doc/269939
ER -

References

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