Absorption laws and reverse order laws for generalized core inverses

DOI10.1080/00927872.2021.1892712zbMath1478.16030OpenAlexW3138210710MaRDI QIDQ5153787

Long Wang, Yuefeng Gao, Honglin Zou, Jian-Long Chen

Publication date: 1 October 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2021.1892712

zbMATH Keywords

core-EP inverseDMP inversereverse order lawabsorption law

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Generalized inverses (associative rings and algebras) (16U90)

Related Items (2)

The absorption laws for the weighted core inverse in rings ⋮ On forward-order law for core inverse in rings

Cites Work

• Unnamed Item
• On a new generalized inverse for matrices of an arbitrary index
• The reverse order law of the \((b,c)\)-inverse in semigroups
• Reverse order laws for the Drazin inverses
• Reverse order law for the core inverse in rings
• Group, Moore-Penrose, core and dual core inverse in rings with involution
• Mixed-type reverse-order laws of \((AB)^{(1,3)}, (AB)^{(1,2,3)}\) and \((AB)^{(1,3,4)}\)
• Block generalized inverses
• New characterizations for core inverses in rings with involution
• Reverse order laws for the generalized strong Drazin inverses
• Outer inverses: characterization and applications
• The absorption laws for the generalized inverses
• A class of outer generalized inverses
• Commuting properties of generalized inverses
• Hartwig’s triple reverse order law revisited
• Reverse order law for the inverse along an element
• Mixed-type reverse order law for Moore-Penrose inverse of products of three elements in ring with involution
• New conditions for the reverse order laws for {1,3} and {1,4}-generalized inverses
• Pseudo-Inverses in Associative Rings and Semigroups
• The absorption laws for the generalized inverses in rings
• Core inverse of matrices
• Reverse order laws for {1, 3}-generalized inverses
• Vanishing pseudo–Schur complements, reverse order laws, absorption laws and inheritance properties
• Pseudo core inverses in rings with involution
• Reverse Order Law for the Group Inverse in Semigroups and Rings
• Characterizations and Representations of Core and Dual Core Inverses
• Core–EP inverse
• Further results on the reverse order law for the group inverse in rings

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