The Structure of Rings in Some Varieties with Definable Principal Congruences

DOI10.2307/2154002zbMath0766.16013OpenAlexW4242684891MaRDI QIDQ3993848

G. E. Simons

Publication date: 13 August 1992

Full work available at URL: https://doi.org/10.2307/2154002

zbMATH Keywords

finite ringsidentitystandard formdefinable principal congruencessubdirectly irreducible rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Subalgebras, congruence relations (08A30) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (2)

Finite Rings in Varieties with Definable Principal Congruences ⋮ Definable principal congruences and solvability

Cites Work

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• Definable principal congruences in congruence distributive varieties
• A correction to Definable principal congruences in varieties of groups and rings
• Residually small varieties of K-algebras
• On classes of algebras with the definability of congruences
• Representations of finite rings
• The number of subdirectly irreducible algebras in a variety
• 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
• Definable Principal Congruences and R-Stable Identities
• Varieties of Rings with Definable Principal Congruences
• Separable Algebras Over Commutative Rings

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