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

Authors :
Tangjie Hu
Jiaqi Li
Qiuyu Wang
Junchao Wei
Source :
Georgian Mathematical Journal. 30:445-452
Publication Year :
2023
Publisher :
Walter de Gruyter GmbH, 2023.

Abstract

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

Subjects

Subjects :
General Mathematics

Details

ISSN :
15729176, 1072947X, and 20232020
Volume :
30
Database :
OpenAIRE
Journal :
Georgian Mathematical Journal
Accession number :
edsair.doi...........ababb7c1c41d343ac9de9321695299c2
Full Text :
https://doi.org/10.1515/gmj-2023-2020