The (b,c)-inverse for products and lower triangular matrices

DOI10.1142/S021949881750222XzbMath1378.15003OpenAlexW2558372242MaRDI QIDQ4594949

Zhou Wang, Jian-Long Chen, Yuanyuan Ke

Publication date: 27 November 2017

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

Full work available at URL: https://doi.org/10.1142/s021949881750222x

zbMATH Keywords

semigroupsDrazin inversegeneralized inverseringsMoore-Penrose inversecore inverseinverse along an element\((b, c)\)-inverseBott-Duffin \((e, f)\)-inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Endomorphism rings; matrix rings (16S50) Semigroups (20M99)

Related Items (7)

Weighted inner inverse for rectangular matrices ⋮ The \((b,c)\)-inverse in rings and in the Banach context ⋮ Further results on the (b, c)-inverse, the outer inverse AT,S(2) and the Moore–Penrose inverse in the Banach context ⋮ The reverse order law of the \((b,c)\)-inverse in semigroups ⋮ The \((b, c)\)-inverse in semigroups and rings with involution ⋮ New results on (b, c)–inverses ⋮ One-sided (b,c)-inverses in rings

Cites Work

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• On the Algebra of Networks
• The Moore-Penrose inverse of von Neumann regular matrices over a ring
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