Weak group inverses in proper ∗-rings

DOI10.1142/S0219498820502382zbMath1464.16037OpenAlexW2981725688WikidataQ114614505 ScholiaQ114614505MaRDI QIDQ5133889

Mengmeng Zhou, Yukun Zhou, Jian-Long Chen

Publication date: 11 November 2020

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

Full work available at URL: https://doi.org/10.1142/s0219498820502382

zbMATH Keywords

group inverseweak group inversegroup-EP decomposition

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Generalized inverses (associative rings and algebras) (16U90)

Related Items

Weak group inverses and partial isometries in proper *-rings ⋮ Weak core inverses and pseudo core inverses in a ring with involution ⋮ Application of \(m\)-weak group inverse in solving optimization problems ⋮ Common properties among various generalized inverses and constrained binary relations ⋮ Characterizations and representations of weak core inverses and $m$-weak group inverses ⋮ New representations and properties of the \(m\)-weak group inverse ⋮ \(m\)-weak group inverses in a ring with involution ⋮ Representations for the weak group inverse ⋮ Expressions and properties of weak core inverse ⋮ Weighted weak core inverse of operators ⋮ On some orders in ∗-rings based on the core-EP decomposition

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