Solving a minus partial ordering equation over von Neumann regular rings.

DOI10.1007/s13163-010-0038-3zbMath1230.16011OpenAlexW2045937465MaRDI QIDQ644547

Yongge Tian

Publication date: 4 November 2011

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-010-0038-3

zbMATH Keywords

linear equationsgeneral solutionsgeneralized inversesvon Neumann regular ringsquadratic equationsminus partial orderings

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Ideals in associative algebras (16D25) Linear equations (linear algebraic aspects) (15A06) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (3)

Left and right G-outer inverses ⋮ Space pre-order and minus partial order for operators on Banach spaces ⋮ Solutions of minus partial ordering equations over von Neumann regular rings

Cites Work

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• Shorted operators and rank decomposition matrices
• On some characterizations of the star partial ordering for matrices and rank subtractivity
• A relationship between the star and minus orderings
• The minus partial order and the shorted matrix
• Shorted matrices - an extended concept and some applications
• On the Löwner, minus, and star partial orderings of nonnegative definite matrices and their squares
• A note on the rank-subtractivity ordering
• Nonnegative idempotent matrices and the minus partial order
• The maximal and minimal ranks of \(A - BXC\) with applications
• Automorphisms of \(M_{n}\), partially ordered by rank subtractivity ordering
• A note on the generalized rank reduction
• Shorted Operators Relative to a Partial Order in a Regular Ring
• The natural partial order on a regular semigroup

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