Characterizations of m-EP elements in rings

DOI10.1080/03081087.2017.1347136zbMath1402.15005OpenAlexW2736069195MaRDI QIDQ4643724

Honglin Zou, Pedro Patrício, Jian-Long Chen

Publication date: 28 May 2018

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2017.1347136

zbMATH Keywords

Drazin inverseMoore-Penrose inversecore inverse

Mathematics Subject Classification ID

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

Related Items (5)

*-DMP elements in *-semigroups and *-rings ⋮ Polynomially EP operators ⋮ \(m\)-weak group inverses in a ring with involution ⋮ On DMP inverses and m-EP elements in rings ⋮ New characterizations of the CMP inverse of matrices

Cites Work

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• New characterizations of EP, generalized normal and generalized Hermitian elements in rings
• Further results on partial isometries and EP elements in rings with involution
• Group, Moore-Penrose, core and dual core inverse in rings with involution
• Characterizations of normal, hyponormal and EP operators
• EP elements in rings.
• Two sets of new characterizations for normal and EP matrices.
• Drazin invertibility for matrices over an arbitrary ring
• Drazin-Moore-Penrose invertibility in rings
• Characterizing Hermitian, normal and EP operators
• The class ofm-EPandm-normal matrices
• Pseudo-Inverses in Associative Rings and Semigroups
• Characterizations of EP, normal, and Hermitian matrices
• Core inverse of matrices
• Elements of rings with equal spectral idempotents
• Properties of m-EP operators

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