Weighted pseudo core inverses in rings

DOI10.1080/03081087.2019.1585742zbMath1459.16037OpenAlexW2921789295WikidataQ114641271 ScholiaQ114641271MaRDI QIDQ5145077

Qing-Wen Wang, Huihui Zhu

Publication date: 19 January 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1585742

zbMATH Keywords

inverses along an element\(e\)-core inverses\(f\)-dual core inversesweighted Moore-Penrose inverses\(\{e,1,3\}\)-inverses\(\{f,1,4\}\)-inverses

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Generalized inverses (associative rings and algebras) (16U90)

Related Items (11)

CHARACTERIZATIONS OF ANNIHILATOR (b, c)-INVERSES IN ARBITRARY RINGS ⋮ A new class of generalized inverses in semigroups and rings with involution ⋮ Extensions of generalized core-EP inverse ⋮ Generalization of core-EP inverse for rectangular matrices ⋮ Further results on weighted core inverse in a ring ⋮ Solvability of some constrained matrix approximation problems using core-EP inverses ⋮ Representations for the weak group inverse ⋮ Expressions and properties of weak core inverse ⋮ Weighted Moore-Penrose inverses and weighted core inverses in rings with involution ⋮ Core–EP inverses in Banach algebras ⋮ Idempotents generated by weighted generalized inverses in rings with involution

Cites Work

• On generalized inverses and Green's relations
• Group, Moore-Penrose, core and dual core inverse in rings with involution
• The generalized Moore-Penrose inverse
• Centralizer's applications to the inverse along an element
• Weighted Moore-Penrose inverses and weighted core inverses in rings with involution
• Further results on the inverse along an element in semigroups and rings
• Generalized inverses modulo ℋ in semigroups and rings
• Pseudo-Inverses in Associative Rings and Semigroups
• Core inverse of matrices
• Several characterizations for generalized inverses in a ring
• Pseudo core inverses in rings with involution

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