On Characterizations of Special Elements in Rings with Involution

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英文篇名：On Characterizations of Special Elements in Rings with Involution 作者：Sanzhang ; XU ; Jianlong ; CHEN ; Dijana ; MOSIC 英文作者：Sanzhang XU;Jianlong CHEN;Dijana MOSIC;School of Mathematics, Southeast University;Faculty of Sciences and Mathematics, University of Nis; 英文关键词：Moore-Penrose inverse;;Core inverse;;EP element;;Star-core element;;Normal element;;Hermitian element 中文刊名：SXNK 英文刊名：数学年刊B辑(英文版) 机构：School of Mathematics, Southeast University;Faculty of Sciences and Mathematics, University of Nis; 出版日期：2019-01-15 出版单位：Chinese Annals of Mathematics,Series B 年：2019 期：v.40 基金：supported by the National Natural Science Foundation of China(Nos.11201063,11771076);; the Ministry of Education and Science,Republic of Serbia(No.174007) 语种：英文; 页：SXNK201901004 页数：14 CN：01 ISSN：31-1329/O1 分类号：69-82

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.
        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.

引文

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