Geodesic
SEP elements and solutions of related equations in a ring with involution
Filomat, Tome 37 (2023) no. 24, p. 8213

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DOI

In this paper, we study many new characterizations of SEP elements in a rings with involution, mainly, we first discuss some properties of SEP elements by means of regular elements, {1,3}-inverses and the equality of certain set. Next, we give some necessity and sufficiency conditions of SEP elements by discussing the solutions of related equations. Finally, we characterize SEP elements by constructing the group inverses and MP inverses.
DOI : 10.2298/FIL2324213L
Classification : 16B99, 16W10, 46L05
Keywords: EP element, SEP element, solutions of equation, regular, ring with involution 
Anqi Li; Mengge Guan; Junchao Wei. SEP elements and solutions of related equations in a ring with involution. Filomat, Tome 37 (2023) no. 24, p. 8213 . doi: 10.2298/FIL2324213L
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     title = {SEP elements and solutions of related equations in a ring with involution},
     journal = {Filomat},
     pages = {8213 },
     year = {2023},
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     number = {24},
     doi = {10.2298/FIL2324213L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2324213L/}
}
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