Properties of core-EP order in rings with involution

DOI10.1007/s11464-019-0782-8zbMath1473.15008OpenAlexW2970497697WikidataQ127315449 ScholiaQ127315449MaRDI QIDQ2336067

Janko Marovt, Burcu Ungor, Gregor Dolinar, Bojan Kuzma

Publication date: 18 November 2019

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-019-0782-8

zbMATH Keywords

ringDrazin inversecore-EP decompositionpre-order

Mathematics Subject Classification ID

Partial orders, general (06A06) Theory of matrix inversion and generalized inverses (15A09) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (11)

Extensions of generalized core-EP inverse ⋮ Representations of quaternion W-MPCEP, W-CEPMP and W-MPCEPMP inverses ⋮ Weighted G-Outer Inverse of Banach Spaces Operators ⋮ Further results on strongly core orthogonal matrix ⋮ Application of \(m\)-weak group inverse in solving optimization problems ⋮ Core–EP Star and Star Core–EP Operators ⋮ New representations and properties of the \(m\)-weak group inverse ⋮ EP-quasinilpotent decomposition and its generalizations ⋮ Weighted weak core inverse of operators ⋮ Additive properties for the pseudo core inverse of morphisms in an additive category ⋮ On some orders in ∗-rings based on the core-EP decomposition

Cites Work

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• APPLICATIONS OF THE DRAZIN INVERSE TO THE HILL CRYPTOGRAPHIC SYSTEM. PART III.
• On generalized inverses in C*-algebras
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• Pseudo core inverses in rings with involution
• *-DMP elements in *-semigroups and *-rings
• Generalized Inverses of Linear Transformations
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