The inverse along a product and its applications

DOI10.1080/03081087.2015.1059796zbMath1343.15006arXiv1411.7847OpenAlexW1506128743MaRDI QIDQ2805667

Huihui Zhu, Pedro Patrício, Jian-Long Chen, Yu Lin Zhang

Publication date: 12 May 2016

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

Full work available at URL: https://arxiv.org/abs/1411.7847

zbMATH Keywords

semigroupGreen relationsvon Neumann regularitymonoidinverse along an elementmatrices over a ring

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (11)

Outer inverses in semigroups belonging to the prescribed Green's equivalence classes ⋮ Reverse order law for the inverse along an element ⋮ Characterizations and representations of the inverse along an element ⋮ Further results on the (b, c)-inverse, the outer inverse AT,S(2) and the Moore–Penrose inverse in the Banach context ⋮ Centralizer's applications to the inverse along an element ⋮ Further results on several types of generalized inverses ⋮ The reverse order law of the \((b,c)\)-inverse in semigroups ⋮ Weighted Moore-Penrose inverses and weighted core inverses in rings with involution ⋮ The existence and expressions of the inverse along operators B and C ⋮ The pseudo core inverse of a lower triangular matrix ⋮ One-sided (b,c)-inverses in rings

Cites Work

• On generalized inverses and Green's relations
• Generalized invertibility in two semigroups of a ring.
• The inverse along a lower triangular matrix
• On the structure of semigroups
• Generalized inverses modulo ℋ in semigroups and rings
• The Radical and Semi-Simplicity for Arbitrary Rings
• About the von Neumann regularity of triangular block matrices

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