Drazin inverse and generalization of core-nilpotent decomposition

DOI10.1142/s0219498824500415zbMath1529.15004OpenAlexW4303449449MaRDI QIDQ6067639

Umashankara Kelathaya, Manjunatha Prasad Karantha, Savitha Varkady

Publication date: 14 December 2023

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

Full work available at URL: https://doi.org/10.1142/s0219498824500415

zbMATH Keywords

Drazin inversegeneralized inversecore-nilpotent decompositionminus partial ordersharp order

Mathematics Subject Classification ID

Partial orders, general (06A06) Theory of matrix inversion and generalized inverses (15A09) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

• Core-EP decomposition and its applications
• The minus partial order and the shorted matrix
• On group inverses and the sharp order
• Right-left symmetry of \(aR\oplus bR=(a+b)R\) in regular rings
• Outer inverses: characterization and applications
• Generalized core-nilpotent decomposition
• The Souriau-Frame algorithm and the Drazin pseudoinverse
• Pseudo-Inverses in Associative Rings and Semigroups
• Shorted Operators Relative to a Partial Order in a Regular Ring
• The natural partial order on a regular semigroup
• More on the Souriau–Frame Algorithm and the Drazin Inverse
• EP-nilpotent decomposition and its applications
• Inverse complements and strongly unit regular elements
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