Definable principal congruences in varieties of groups and rings

DOI10.1007/BF02488027zbMath0407.08006OpenAlexW1993949897MaRDI QIDQ1257916

K. Appert

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf02488027

zbMATH Keywords

AxiomatizabilityDefinable Principal CongruencesVarieties of GroupsVarieties of Rings

Mathematics Subject Classification ID

Quasivarieties and varieties of groups (20E10) Equational classes, universal algebra in model theory (03C05) Axiomatic model classes (08C10) Varieties (08B99)

Related Items (11)

Identities and quasi-identities of pointed algebras ⋮ Varieties of Rings with Definable Principal Congruences ⋮ Varieties with equationally definable principal congruences ⋮ Two examples concerning the definability of the disjointness property of principal congruences ⋮ A correction to Definable principal congruences in varieties of groups and rings ⋮ On classes of algebras with the definability of congruences ⋮ The Structure of Rings in Some Varieties with Definable Principal Congruences ⋮ Finite Rings in Varieties with Definable Principal Congruences ⋮ Definable principal congruences and solvability ⋮ On finitely based groups and nonfinitely based quasivarieties ⋮ Definable principal congruences in congruence distributive varieties

Cites Work

• 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

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