Rings Whose Idempotents Form a Multiplicative Set

DOI10.1080/00927872.2011.567405zbMath1280.16037OpenAlexW2000226303MaRDI QIDQ3145436

Karin Cvetko-Vah, Jonathan Leech

Publication date: 20 December 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.567405

zbMATH Keywords

primitive idempotentsnormal bandsskew Boolean algebras\(\mathcal D\)-classesrings without identity

Mathematics Subject Classification ID

Generalizations of commutativity (associative rings and algebras) (16U80) Ring-theoretic properties of Boolean algebras (06E20)

Related Items (6)

Distributivity in skew lattices ⋮ Notes on reduced Rickart rings. I. Representation and equational axiomatizations ⋮ Skew lattices and binary operations on functions ⋮ VARIETIES OF SKEW BOOLEAN ALGEBRAS WITH INTERSECTIONS ⋮ My journey into noncommutative lattices and their theory ⋮ The connection of skew Boolean algebras and discriminator varieties to Church algebras

Cites Work

• Multiplicative sets of idempotents in a finite ring.
• A new proof of Spinks' theorem
• Skew lattices in rings
• Skew Boolean algebras and discriminator varieties
• Associativity of the \(\nabla\)-operation on bands in rings.
• Skew lattices of matrices in rings
• Skew Boolean algebras
• Boolean skew algebras

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