Generalized inverses of a sum with a radical element

DOI10.1016/0024-3795(86)90321-6zbMath0611.15006OpenAlexW1976123759MaRDI QIDQ1087609

Roland Puystjens, Dirk Huylebrouck

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90321-6

zbMATH Keywords

group invertibilityJacobsen radicalMoore-Penrose invertibilitySBI ringsvon Neumann regular element

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Radicals and radical properties of associative rings (16Nxx)

Related Items (9)

Constructing and counting regular triangular matrices ⋮ Characterizations of special clean elements and applications ⋮ The Moore-Penrose inverse of von Neumann regular matrices over a ring ⋮ About the von Neumann regularity of triangular block matrices ⋮ Diagonalizing triangular matrices via orthogonal Pierce decompositions ⋮ Generalized inverses of a sum of morphisms ⋮ The generalized inverse of a sum with radical element: Applications ⋮ Core and dual core inverses of a sum of morphisms ⋮ Pseudo core inverses of a sum of morphisms

Cites Work

• Moore-Penrose inverses for matrices over some Noetherian rings
• The moore-penrose inverse of a matrix over a semi-simpie artinian ring
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Generalized inverses of a sum with a radical element