Unit-regularity of elements in rings

DOI10.1142/s0219498823501359OpenAlexW4220935695WikidataQ128992982 ScholiaQ128992982MaRDI QIDQ6104125

Tsiu-Kwen Lee

Publication date: 28 June 2023

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

Full work available at URL: https://doi.org/10.1142/s0219498823501359

zbMATH Keywords

completely reducible moduleminus partial orderunit-regularinner (outer, reflexive) inverseinverse complement(left) right disjoint

Mathematics Subject Classification ID

Partial orders, general (06A06) Conditions on elements (16U99) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

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• On unit fine rings
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• Generalized inversion and weak bi-complementarity^∗
• Semiprime Algebras with Finiteness Conditions
• Inclusion properties of generalized inverses in semiprime rings
• A note on the right-left symmetry of aR ⊕ bR = (a + b)R in rings
• A note on inner and reflexive inverses in semiprime rings
• Inverse complements of a matrix and applications
• Outer inverses, minus partial orders, and triplet invariance

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