MOORE–PENROSE LOCALIZATION

Author:

ÁNH PHAM NGOC1,MÁRKI LÁSZLÓ1

Affiliation:

1. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, H — 1364 Budapest, Pf. 127, Hungary

Abstract

For rings with involution, we describe the close interrelation between localizations with respect to group inverses and Moore–Penrose inverses, respectively. In full generality, we show that Moore–Penrose localizations are equivalent with certain Fountain–Gould localizations, and that "full" Moore–Penrose and Fountain–Gould orders, respectively, coincide in a perfect or strongly regular ring.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Reference9 articles.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Ordering Orders and Quotient Rings;Semigroups, Categories, and Partial Algebras;2021

2. A Linear Map Acts as a Leonard Pair with Each of the Generators of Usl2;International Journal of Mathematics and Mathematical Sciences;2020-08-25

3. Algebras of quotients of path algebras;Journal of Algebra;2008-06

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