Two Generalizations of the Core Inverse in Rings with Some Applications

San-Zhang Xu (), Julio Benítez, Ya-Qian Wang and Dijana Mosić
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San-Zhang Xu: Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223003, China
Julio Benítez: Instituto de Matemática Multidisciplinar, Universitat Politècnica de Vaència, 46022 Valencia, Spain
Ya-Qian Wang: Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian 223003, China
Dijana Mosić: Faculty of Sciences and Mathematics, University of Niš, P.O. Box 224, 18000 Niš, Serbia

Mathematics, 2023, vol. 11, issue 8, 1-11

Abstract: 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.

Keywords: ( p , q , m )-core inverse; ? p , q , n ?-core inverse; ?i,m?-core inverse; (j,m)-core inverse; core inverse; DMP-inverse; core-EP inverse (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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