[1]李德才,史丽妍,魏俊潮.EP元与方程的解[J].南京师范大学学报(自然科学版),2019,42(01):20.[doi:10.3969/j.issn.1001-4616.2019.01.004]
　Li Decai,Shi Liyan,Wei Junchao.EP Elements and Solutions of Equations[J].Journal of Nanjing Normal University(Natural Science Edition),2019,42(01):20.[doi:10.3969/j.issn.1001-4616.2019.01.004]
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EP元与方程的解()
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《南京师范大学学报》（自然科学版）[ISSN:1001-4616/CN:32-1239/N]

卷:
第42卷
期数:
2019年01期
页码:
20
栏目:
·数学·
出版日期:
2019-03-20

文章信息/Info

Title:
EP Elements and Solutions of Equations
文章编号:
1001-4616(2019)01-0020-03
作者:
李德才1; 2; 史丽妍1; 魏俊潮1
(1.扬州大学数学科学学院,江苏 扬州 225002)(2.扬州市职业大学科技处,江苏 扬州 225009)
Author(s):
Li Decai1; 2; Shi Liyan1; Wei Junchao2
(1.School of Mathematical Science,Yangzhou University,Yangzhou 225002,China)(2.Science and Technology Department,Yangzhou Polytechnic College,Yangzhou 225009,China)
关键词:
*-环; 群可逆元; Moore-Penrose可逆元; EP元; 方程的解
Keywords:
*-ring; group invertible element; Moore-Penrose invertible element; EP element; the solutions of equation
分类号:
O153; O154
DOI:
10.3969/j.issn.1001-4616.2019.01.004
文献标志码:
A
摘要:
证明了如下结论:设a∈R#∩R+,则1)a∈REP当且仅当方程axa*=a*xa在χa中有解; 2)a∈REP当且仅当方程a#xa*=a+xa*在χa中至少有两个解,其中χa={a,a#,a+,a*,(a#)*,(a+)*}.
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+)*}.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2018-07-15.
基金项目:国家自然科学基金(11471282).
通讯联系人:李德才,教授,研究方向:hopf代数. E-mail:decailee@163.com
更新日期/Last Update: 2019-03-30