Invertible linear maps preserving \(\{1\}\)-inverses of matrices over PID

DOI10.1007/BF02832051zbMath1121.15002MaRDI QIDQ861477

Changjiang Bu

Publication date: 29 January 2007

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

principal ideal domain{1}-inverse of a matrixlinear preserver, Jordan triple product

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Linear transformations, semilinear transformations (15A04)

Related Items (1)

Linear maps preserving M-P inverses of matrices between matrix spaces over fields

Cites Work

• Linear preserver problems: A brief introduction and some special techniques
• Linear maps preserving idempotence on matrix modules over principal ideal domains
• Linear maps preserving Drazin inverses of matrices over fields
• Linear preservers between matrix modules over connected commutative rings
• The generalized inverse \(A_{T,*}^{(2)}\) and its applications
• Linear maps preserving pairs of Hermitian matrices on which the rank is additive and applications
• Additive maps preserving M-P inverses of matrices over Fields^∗
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