Reverse order law for the group inverse in rings

DOI10.1016/j.amc.2012.08.088zbMath1308.15004OpenAlexW1966628068MaRDI QIDQ2017919

Dragan S. Djordjević, Dijana Mosić

Publication date: 23 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.08.088

zbMATH Keywords

group inversereverse order law

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (11)

The structures and properties of some generalized invertible operators ⋮ Further properties on the core partial order and other matrix partial orders ⋮ Reverse order laws on the conditions of the commutativity up to a factor ⋮ Further results on weighted core inverse in a ring ⋮ On forward-order law for core inverse in rings ⋮ Further results on the reverse order law for the group inverse in rings ⋮ Reverse order laws for the generalized strong Drazin inverses ⋮ Further results on the reverse order law for the group inverse in rings ⋮ Reverse order law for the core inverse in rings ⋮ Reverse Order Law for the Group Inverse in Semigroups and Rings ⋮ Reverse order laws for the generalized Drazin inverse in Banach algebras

Cites Work

• Reverse order law for the group inverses
• Reverse order law of group inverses of products of two matrices
• The product of operators with closed range and an extension of the reverse order law
• Generalized inverses. Theory and applications.
• Note on the Generalized Inverse of a Matrix Product
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