Group inverses of matrices over right Ore domains

DOI10.1016/j.amc.2011.12.071zbMath1248.15005OpenAlexW1999114958MaRDI QIDQ428114

Kuize Zhang, Changjiang Bu

Publication date: 19 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.071

zbMATH Keywords

Drazin inversegroup inverseblock matrixBézout domainregular matrix\(\{1\}\)-inverseleft Ore domainright Ore domain

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33)

Related Items

Group inverses for a class of \(2{\times}2\) block matrices over rings ⋮ A note on the group inverses of block matrices over rings ⋮ Group inverses for some \(2 \times 2\) block matrices over rings ⋮ Group inverse for two classes of \(2\times 2\) anti-triangular block matrices over right Ore domains ⋮ Group inverse for two classes of \(2\times 2\) block matrices over rings ⋮ Further results on the group inverse of some anti-triangular block matrices

Cites Work

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• Pseudo-Inverses in Associative Rings and Semigroups
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• Group inverses for matrices over a Bezout domain
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• The Role of the Group Generalized Inverse in the Theory of Finite Markov Chains
• The Index and the Drazin Inverse of Block Triangular Matrices
• Representations for the Drazin Inverse of a 2 x 2 Block Matrix

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