The generalized inverse over commutative rings

DOI10.1080/03081080500079510zbMath1086.15004OpenAlexW2065415156MaRDI QIDQ5693568

Yaoming Yu, Guo-rong Wang

Publication date: 26 September 2005

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

Full work available at URL: https://doi.org/10.1080/03081080500079510

zbMATH Keywords

Drazin inversegeneralized inverseMoore-Penrose inverseintegral domainsgroup inversecommutative ringregular matrix

Mathematics Subject Classification ID

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

Related Items (9)

Unnamed Item ⋮ Representations and geometrical properties of generalized inverses over fields ⋮ The Generalized Inverse A⁽²⁾_{T, S}of a Matrix Over an Associative Ring ⋮ The quasi-linear operator outer generalized inverse with prescribed range and kernel in Banach spaces ⋮ The Representation and Computational Procedures for the Generalized Inverse of an OperatorAin Hilbert Spaces ⋮ Characterizations and representations of outer inverse for matrices over a ring ⋮ The Drazin inverse in an arbitrary semiring ⋮ Determinantal representation of the generalized inverse\bi A_{T,S}^{(2)}over integral domains and its applications ⋮ The outer inverse f(2)T,S of a homomorphism of right R-modules

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
• A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
• On generalized inverses of matrices over integral domains
• A cramer rule for solution of the general restricted linear equation^∗

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