Reverse order laws in rings with involution.

DOI10.1216/RMJ-2014-44-4-1301zbMath1321.16025MaRDI QIDQ470408

Dijana Mosić, Dragan S. Djordjević

Publication date: 12 November 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1414760955

zbMATH Keywords

Moore-Penrose inversesrings with involutiongroup inversesreverse order laws

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) General theory of (C^*)-algebras (46L05)

Cites Work

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• Reverse order law for the group inverses
• Reverse order law of group inverses of products of two matrices
• On pseudoinverses of operator products
• The product of operators with closed range and an extension of the reverse order law
• Generalized inverses. Theory and applications.
• The reverse-order law \((AB)^\dagger= B^\dagger (A^\dagger ABB^\dagger)^\dagger A^\dagger\) and its equivalent equalities
• Note on the Generalized Inverse of a Matrix Product

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