Generalized invertibility in two semigroups of a ring.

DOI10.1016/j.laa.2003.08.004zbMath1046.15004OpenAlexW2168804366MaRDI QIDQ1418971

Roland Puystjens, Pedro Patrício

Publication date: 14 January 2004

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

Full work available at URL: http://hdl.handle.net/1822/2888

zbMATH Keywords

semigroupsMoore-Penrose inversesmatrix ringsgroup inversematrices over ringsgeneralized invertibilitycorner ringsgeneralized inverse matrixNeumann inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Endomorphism rings; matrix rings (16S50) Algebraic systems of matrices (15A30)

Related Items (10)

Drazin-Moore-Penrose invertibility in rings ⋮ A note on clean elements and inverses along an element ⋮ Generalized invertibility in a corner ring ⋮ On the pseudo drazin inverse of the sum of two elements in a Banach algebra ⋮ Moore–Penrose invertibility in involutory rings: the case aa ^†=bb ^† ⋮ Generalized inverses of a factorization in a ring with involution ⋮ The inverse along a product and its applications ⋮ Projections generated by Moore–Penrose inverses and core inverses ⋮ On the Drazin index of regular elements ⋮ Core and strongly core orthogonal matrices

Cites Work

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• Symmetric morphisms and the existence of Moore-Penrose inverses
• The Moore-Penrose inverse of a morphism with factorization
• The Moore-Penrose inverse of a factorization
• Drazin invertibility for matrices over an arbitrary ring
• Generalized inverses of matrices with entries taken from an arbitrary field
• Additive results for the generalized Drazin inverse
• The moore-penrose inverse of a matrix over a semi-simpie artinian ring
• The group inverse of a companion matrix
• Composition of binary quadratic forms
• Some additive results on Drazin inverse
• The Moore-Penrose inverse of von Neumann regular matrices over a ring

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