On Characterizations of Special Elements in Rings with Involution

被引：5

作者：

Xu, Sanzhang ^{[1
]}

Chen, Jianlong ^{[1
]}

Mosic, Dijana ^{[2
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

[2] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2019年 / 40卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Moore-Penrose inverse; Core inverse; EP element; Star-core element; Normal element; Hermitian element; CORE INVERSE; EP ELEMENTS;

D O I：

10.1007/s11401-018-0118-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a ring with involution. It is well-known that an EP element in R is a core invertible element, but the question when a core invertible element is an EP element, the authors answer in this paper. Several new characterizations of star-core, normal and Hermitian elements in R are also presented.

引用

页码：65 / 78

页数：14

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