On characterizations of special elements in rings with involution

DOI10.1007/s11401-018-0118-0zbMath1403.16037OpenAlexW2904666022MaRDI QIDQ1713513

Dijana Mosić, Sanzhang Xu, Jian-Long Chen

Publication date: 25 January 2019

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

Full work available at URL: https://doi.org/10.1007/s11401-018-0118-0

zbMATH Keywords

Moore-Penrose inversecore inverseHermitian elementnormal elementEP elementstar-core element

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (3)

Further results of special elements in rings with involution ⋮ Core inverse in Banach algebras ⋮ Perturbation results and forward order law for the Moore-Penrose inverse in rings with involution

Cites Work

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• New characterizations of EP, generalized normal and generalized Hermitian elements in rings
• Group, Moore-Penrose, core and dual core inverse in rings with involution
• EP elements in rings.
• Moore-Penrose-invertible normal and Hermitian elements in rings.
• Block generalized inverses
• New characterizations for core inverses in rings with involution
• Further results on the inverse along an element in semigroups and rings
• Matrices for whichA^∗andA^†commute
• Core inverse of matrices
• Elements of rings with equal spectral idempotents
• Characterizations and Representations of Core and Dual Core Inverses

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