Residually small varieties of semigroups

DOI10.1007/BF02483833zbMath0475.20051MaRDI QIDQ1159775

Ralph McKenzie

Publication date: 1981

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

zbMATH Keywords

subdirectly irreducible algebrasresidually small varietyfinite semigroupsubdirectly irreducible semigroupsdisjoint union of groupfinite universal algebragroup of finite exponentQuackenbush algebrasubdirectly irreducible semigroup

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Varieties (08B99)

Related Items

The cardinality of subdirectly indecomposable systems in quasivarieties, The number of non-isomorphic models in quasi-varieties of semigroups, Dualisability versus residual character: a theorem and a counterexample, Residually Small Varieties with Modular Congruence Lattices, Residually small varieties of K-algebras, One characteristical property of semilattices, Natural extensions and profinite completions of algebras, The axiomatizability of topological prevarieties, Natural dualities, nilpotence and projective planes, ON RESIDUALLY FINITE VARIETIES OF INVOLUTION SEMIGROUPS, Dualities for quasi-varieties of bands., DUALISABILITY OF FINITE SEMIGROUPS, Deciding active structural completeness, Semigroup quasivarieties: Two lattices and a reopened problem, On the Relationship Between AP, RS and CEP, Residual finiteness in permutation varieties of semigroups, A note on residually small varieties of semigroups

Cites Work

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• The number of subdirectly irreducible algebras in a variety. II
• The number of subdirectly irreducible algebras in a variety
• Equational classes generated by finite algebras
• Residually small varieties
• Subdirectly Irreducible Algebras in Regular, Permutable Varieties
• Residually Small Varieties with Modular Congruence Lattices