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Some new characterizations of EP elements, partial isometries and strongly EP elements in rings with involution

  • Tangjie Hu ORCID logo EMAIL logo , Jiaqi Li ORCID logo , Qiuyu Wang ORCID logo and Junchao Wei ORCID logo

Abstract

This paper mainly gives some sufficient and necessary conditions for an element in a ring to be EP , partial isometry and strongly EP by some equalities, using the solutions of certain equations and constructing the invertible elements in a ring.

MSC 2010: 15A24; 15A09

Funding statement: Project was supported by the Yangzhou University students science and technology innovation fund project (X20210224) and Top-notch Academic Programs Project of Jiangsu Higher Education Institutions (PPZY2015B109).

Acknowledgements

We would like to express our sincere gratitude to the editor and anonymous reviewers for their valuable comments, which have essentially improved this paper.

References

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Received: 2022-01-28
Revised: 2022-11-19
Accepted: 2022-11-24
Published Online: 2023-03-29
Published in Print: 2023-06-01

© 2023 Walter de Gruyter GmbH, Berlin/Boston

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