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EP Elements and Solutions of Equations(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2019年01期
Page:
20-
Research Field:
·数学·
Publishing date:

Info

Title:
EP Elements and Solutions of Equations
Author(s):
Li Decai12Shi Liyan1Wei Junchao2
(1.School of Mathematical Science,Yangzhou University,Yangzhou 225002,China)(2.Science and Technology Department,Yangzhou Polytechnic College,Yangzhou 225009,China)
Keywords:
*-ringgroup invertible elementMoore-Penrose invertible elementEP elementthe solutions of equation
PACS:
O153; O154
DOI:
10.3969/j.issn.1001-4616.2019.01.004
Abstract:
In this paper,some characterizations of EP elements are given. The main results are as follows:let a∈R#∩R+. then 1)a∈REP if and only if the equation axa*=a*xa has at least one solution in χa; 2)a∈REP if and only if the equation a#xa*=a+xa* has at least two solutions in χa,where χa={a,a#,a+,a*,(a#)*,(a+)*}.

References:

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Last Update: 2019-03-30