Weighted Moore-Penrose inverses and weighted core inverses in rings with involution

DOI10.1007/s11401-021-0282-5zbMath1491.16040OpenAlexW3189635376MaRDI QIDQ2047234

Huihui Zhu, Qing-Wen Wang

Publication date: 19 August 2021

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-021-0282-5

zbMATH Keywords

\(e\)-core inverses\(f\)-dual core inversesinverses Along an elementone-sided inverses along an elementweighted Moore-Penrose inverses

Mathematics Subject Classification ID

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

Related Items (3)

Characterizations of weighted core inverses in rings with involution ⋮ New characterizations for the weighted \((b, c)\)-inverse in rings and their applications ⋮ Weighted pseudo core inverses in rings

Cites Work

• Group, Moore-Penrose, core and dual core inverse in rings with involution
• Further results on the inverse along an element in semigroups and rings
• The inverse along a product and its applications
• Generalized inverses modulo ℋ in semigroups and rings
• Reverse order law for the inverse along an element
• The inverse along an element in rings with an involution, Banach algebras and -algebras
• On a weighted core inverse in a ring with involution
• Characterizations of core and dual core inverses in rings with involution
• Weighted pseudo core inverses in rings
• Characterizations and Representations of Core and Dual Core Inverses

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