Two Generalizations of the Core Inverse in Rings with Some Applications

Two Generalizations of the Core Inverse in Rings with Some Applications

In this paper, we introduce two new generalized core inverses, namely, the (p,q,m)-core inverse and the 〈p,q,n〉-core inverse; both extend the inverses of the 〈i,m〉-core inverse, the (j,m)-core inverse, the core inverse, the core-EP inverse and the DMP-inverse.

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Veröffentlicht in:Mathematics (Basel) 2023-04, Vol.11 (8), p.1822
Hauptverfasser: Xu, San-Zhang, Benítez, Julio, Wang, Ya-Qian, Mosić, Dijana
Format: Artikel
Sprache:eng
Schlagworte:
(j,m)-core inverse
(p,q,m)-core inverse
core inverse
Decomposition
DMP-inverse
Functions, Inverse
i,m〉-core inverse
Mathematical research
p,q,n〉-core inverse
Rings (Algebra)
Rings (mathematics)
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Zusammenfassung:In this paper, we introduce two new generalized core inverses, namely, the (p,q,m)-core inverse and the 〈p,q,n〉-core inverse; both extend the inverses of the 〈i,m〉-core inverse, the (j,m)-core inverse, the core inverse, the core-EP inverse and the DMP-inverse.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11081822