Inverse complements and strongly unit regular elements

DOI10.1142/S0219498822501900OpenAlexW3176549958MaRDI QIDQ5867548

Savitha Varkady, Manjunatha Prasad Karantha, Umashankara Kelathaya

Publication date: 14 September 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822501900

zbMATH Keywords

generalized inverseminus partial orderunit regularinverse complementstrongly unit regular

Mathematics Subject Classification ID

Partial orders, general (06A06) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Associative rings and algebras (16-XX)

Related Items (2)

Drazin inverse and generalization of core-nilpotent decomposition ⋮ Generalized inverses in graph theory

Cites Work

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• The minus partial order and the shorted matrix
• Shorted matrices - an extended concept and some applications
• A note on the group structure of unit regular ring elements
• Right-left symmetry of \(aR\oplus bR=(a+b)R\) in regular rings
• Outer inverses: characterization and applications
• The nonunique shorted matrix
• Shorted Operators Relative to a Partial Order in a Regular Ring
• The natural partial order on a regular semigroup
• Combinatorial Matrix Theory and Generalized Inverses of Matrices
• Inverse complements of a matrix and applications

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