Characterizations of *-DMP matrices over rings

DOI10.3906/mat-1702-109zbMath1424.15007OpenAlexW2800357938WikidataQ113201562 ScholiaQ113201562MaRDI QIDQ4634197

Yuefeng Gao, Jian-Long Chen

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1702-109

zbMATH Keywords

Drazin inversefactorizationMoore-Penrose inversecore-EP inversepseudo core inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Cites Work

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• Group, Moore-Penrose, core and dual core inverse in rings with involution
• Moore-Penrose inverses for matrices over some Noetherian rings
• Factorizations of EP operators
• EP elements in rings.
• EP morphisms
• Block generalized inverses
• Block representations of \(\{2\}\), \(\{1,2\}\) inverses and the Drazin inverse of matrices
• New characterizations for core inverses in rings with involution
• Drazin-Moore-Penrose invertibility in rings
• Factorizations of weighted EP Banach space operators and Banach algebra elements
• Factorizations of EP Banach space operators and EP Banach algebra elements
• Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application
• The moore-penrose inverse of a matrix over a semi-simpie artinian ring
• Core inverse of matrices
• Elements of rings with equal spectral idempotents
• Pseudo core inverses in rings with involution
• *-DMP elements in *-semigroups and *-rings
• Core–EP inverse

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