Generalized inverses of a factorization in a ring with involution

DOI10.1016/j.laa.2015.01.025zbMath1309.15012OpenAlexW2052216354MaRDI QIDQ2257704

Huihui Zhu, Xiao Xiang Zhang, Jian-Long Chen

Publication date: 27 February 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.01.025

zbMATH Keywords

Moore-Penrose inverseinvolutionvon Neumann regularity\(\{1,3\}\)-inverse\(\{1,4\}\)-inverse

Mathematics Subject Classification ID

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

Related Items (16)

A note on clean elements and inverses along an element ⋮ One-sided w-core inverses in rings with an involution ⋮ Reverse order law for the inverse along an element ⋮ Left \(w\)-core inverses in rings with involution ⋮ The \((b, c)\)-core inverse and its dual in semigroups with involution ⋮ The core inverse of a product and \(2\times 2\) matrices ⋮ Jacobson’s lemma and Cline’s formula for generalized inverses in a ring with involution ⋮ The core and dual core inverse of a morphism with factorization ⋮ On DMP inverses and m-EP elements in rings ⋮ Linear and multilinear functional identities in a prime ring with applications ⋮ Further results on the inverse along an element in semigroups and rings ⋮ Right core inverses of a product and a companion matrix ⋮ Generalized inverses and their relations with clean decompositions ⋮ The pseudo core inverse of a lower triangular matrix ⋮ Moore-Penrose equations in involutive residuated semigroups and involutive quantales ⋮ One-sided (b,c)-inverses in rings

Cites Work

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• The Moore-Penrose inverse of \(2\times 2\) matrices over a certain \(\ast\)-regular ring
• The \((2,2,0)\) group inverse problem
• Symmetric morphisms and the existence of Moore-Penrose inverses
• The Moore-Penrose inverse of a factorization
• Generalized invertibility in two semigroups of a ring.
• The \((2,2,0)\) Drazin inverse problem
• About the group inverse and Moore-Penrose inverse of a product
• The Moore-Penrose inverse of von Neumann regular matrices over a ring

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