Additive properties for the pseudo core inverse of morphisms in an additive category

DOI10.1142/S0219498823500305zbMath1503.18002MaRDI QIDQ5872590

Xiaofeng Chen, Dingguo Wang, Jian-Long Chen

Publication date: 2 January 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

morphismadditive propertypseudo core inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General theory of categories and functors (18A99)

Cites Work

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• Group, Moore-Penrose, core and dual core inverse in rings with involution
• The Moore-Penrose inverse of a morphism with factorization
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• Properties of core-EP order in rings with involution
• Core inverse of matrices
• Characterizations for pseudo core inverses in a ring with involution
• Characterizations of core and dual core inverses in rings with involution
• Pseudo core inverses in rings with involution
• Regular factorizations and perturbation analysis for the core inverse of linear operators in Hilbert spaces
• *-DMP elements in *-semigroups and *-rings
• Group inverse and core inverse in Banach and C*-algebras
• Characterizations and Representations of Core and Dual Core Inverses
• Core–EP inverse
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space

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