Characterizations of EP elements in rings with involution
Filomat, Tome 36 (2022) no. 17, p. 5813
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In this paper, we present a number of new characterizations of EP elements in rings with involution. Some well-known results are extended to more general settings. In addition, we specially investigate the EP elements by certain equations. Proofs of relevant conclusions are also given.
Classification :
15A09, 16U99, 16W10
Keywords: EP element, solutions of equation, left annihilator, Jacobson radical, center of a ring, idempotent, invertible element
Keywords: EP element, solutions of equation, left annihilator, Jacobson radical, center of a ring, idempotent, invertible element
Hainan Zhou; Anqi Li; Junchao Wei. Characterizations of EP elements in rings with involution. Filomat, Tome 36 (2022) no. 17, p. 5813 . doi: 10.2298/FIL2217813Z
@article{10_2298_FIL2217813Z,
author = {Hainan Zhou and Anqi Li and Junchao Wei},
title = {Characterizations of {EP} elements in rings with involution},
journal = {Filomat},
pages = {5813 },
year = {2022},
volume = {36},
number = {17},
doi = {10.2298/FIL2217813Z},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2217813Z/}
}
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