On rings determined by their idempotents and units

DOI10.1080/00927872.2023.2173762OpenAlexW4319066329MaRDI QIDQ6039074

Muhammet Tamer Koşan, Jan Žemlička, Unnamed Author

Publication date: 3 May 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2023.2173762

zbMATH Keywords

clean ringsemiperfect ringsymmetric ringsemicommutative ring(abelian) regular ring

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Jacobson radical, quasimultiplication (16N20) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• When is \(C(X)\) a clean ring?
• A criterion for unit-regularity.
• A counterexample to two hypotheses on projective and flat modules
• Rings whose nonzero modules have maximal submodules
• Lifting Idempotents and Exchange Rings
• Clean Semiprimef-Rings with Bounded Inversion
• On rings with associated elements
• Amalgamated rings with clean-type properties
• Uniqueness of Generators of Principal Ideals in Rings of Continuous Functions
• Elementary Divisors and Modules

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