Varieties of Rings with Definable Principal Congruences

DOI10.2307/2043619zbMath0512.16017OpenAlexW4230097238MaRDI QIDQ4750816

G. E. Simons

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2043619

zbMATH Keywords

definable principal congruencespolynomial identity ringvariety generated by algebra

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Equational logic, Mal'tsev conditions (08B05) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Rings with polynomial identity (16Rxx)

Related Items (6)

On the utility of Robinson-Amitsur ultrafilters ⋮ Associative rings ⋮ The Structure of Rings in Some Varieties with Definable Principal Congruences ⋮ Finite Rings in Varieties with Definable Principal Congruences ⋮ Definable principal congruences and solvability ⋮ Definable principal congruences in congruence distributive varieties

Cites Work

• A correction to Definable principal congruences in varieties of groups and rings
• The number of subdirectly irreducible algebras in a variety
• An example concerning definable principal congruences
• Para primal varieties: A study of finite axiomatizability and definable principal congruences in locally finite varieties
• Definable principal congruences in varieties of groups and rings
• Residually small varieties
• Orders for Finite Noncommutative Rings with Unity
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