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Chinese Annals of Mathematics, Series B

, Volume 40, Issue 1, pp 65–78 | Cite as

On Characterizations of Special Elements in Rings with Involution

  • Sanzhang Xu
  • Jianlong ChenEmail author
  • Dijana Mosić
Article
  • 10 Downloads

Abstract

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.

Keywords

Moore-Penrose inverse Core inverse EP element Star-core element Normal element Hermitian element 

2000 MR Subject Classification

15A09 16W10 16B99 

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Notes

Acknowledgements

The authors are grateful to the referee for constructive comments towards improvement of the original version of this paper. The first author is grateful to China Scholarship Council for giving him a purse for his further study in Universidad Polit´ecnica de Valencia, Spain.

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Copyright information

© Fudan University and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of MathematicsSoutheast UniversityNanjingChina
  2. 2.Faculty of Sciences and MathematicsUniversity of NišNišRepublic of Serbia

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