Generalized inverses of matrices over commutative rings

DOI10.1016/0024-3795(94)90081-7zbMath0811.15004OpenAlexW1993739900MaRDI QIDQ1338509

K. Manjunatha Prasad

Publication date: 1 December 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90081-7

zbMATH Keywords

group inversecommutative ringorthogonal Rao idempotentsRao-regular matrices

Mathematics Subject Classification ID

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

Related Items

Generalized inverses of matrices over commutative rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Generalized inverses of an invertible infinite matrix over a finite field ⋮ The determinal rank idempotents of a matrix ⋮ The power and Arnoldi methods in an algebra of circulants ⋮ Outer inverses and Jacobi type identities ⋮ Von Neumann regular matrices revisited ⋮ Matrices having nonzero outer inverses ⋮ The generalized inverse over commutative rings ⋮ About the von Neumann regularity of triangular block matrices ⋮ Finite type projective modules, crossed linear maps and generalized inverses. (Modules projectifs de type fini, applications linéaires croisées et inverses généralisés) ⋮ Minus partial order on regular matrices ⋮ Solvability of linear equations and rank-function ⋮ The image of the adjoint mapping ⋮ Strongly regular matrices revisited ⋮ Outer inverses of matrices

Cites Work

• Generalized inverses over integral domains. II: Group inverses and Drazin inverses
• Generalized inverses over integral domains
• The Moore-Penrose inverse over a commutative ring
• Generalized inverses of matrices over commutative rings
• On generalized inverses of matrices over integral domains
• On bordering of regular matrices
• On Generalized Inverses of Matrices over Principal Ideal Rings
• Reflexive generalized inverses and their minors^*