Exchange rings, exchange equations, and lifting properties

DOI10.1142/S0218196716500491zbMath1372.16042MaRDI QIDQ2828344

Dinesh Khurana, Pace P. Nielsen, Tsit-Yuen Lam

Publication date: 25 October 2016

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

unitsidempotentsexchange ringsregular ringslifting idempotentsexchange equationslifting square roots of onesuitable and clean elements

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Conditions on elements (16U99)

Related Items

On, around, and beyond Frobenius' theorem on division algebras, On cleanness of von Neumann algebras, Rings whose Elements are the Sum of a Tripotent and an Element from the Jacobson Radical

Cites Work

• On semiabelian \(\pi\)-regular rings.
• Exercises in classical ring theory.
• Pseudo-Inverses in Associative Rings and Semigroups
• Unit regular elements in corner rings
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