On elements whose Moore–Penrose inverse is idempotent in a*-ring

DOI10.3906/mat-2101-93zbMath1493.16044OpenAlexW3152051849MaRDI QIDQ5100246

Haiyang Zhu, Yukun Zhou, Jian-Long Chen

Publication date: 29 August 2022

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

Full work available at URL: https://doi.org/10.3906/mat-2101-93

zbMATH Keywords

idempotentMoore-Penrose inversegroup inversecore inverseEP

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Idempotent elements (associative rings and algebras) (16U40) Generalized inverses (associative rings and algebras) (16U90)

Cites Work

• 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
• A note on the group structure of unit regular ring elements
• New characterizations for core inverses in rings with involution
• Generalized inverses. Theory and applications.
• Drazin-Moore-Penrose invertibility in rings
• Further results on the inverse along an element in semigroups and rings
• Pseudo-Inverses in Associative Rings and Semigroups
• Core inverse of matrices
• EP Operators and Generalized Inverses
• Elements of C*-algebras commuting with their Moore-Penrose inverse
• On matrices whose Moore–Penrose inverse is idempotent
• Scalar, Vector, and Matrix Mathematics
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