A note on residually small varieties of semigroups

DOI10.1007/BF01194524zbMath0589.20036MaRDI QIDQ1073920

Ralph McKenzie

Publication date: 1983

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

zbMATH Keywords

variety of groupslattice of normal subgroupssubdirectly irreducible semigroupsresidually finite varieties of semigroupsresidually small varietiesstrictly meet irreducible element

Mathematics Subject Classification ID

Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07) Chains and lattices of subgroups, subnormal subgroups (20E15) Quasivarieties and varieties of groups (20E10)

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ON RESIDUALLY FINITE VARIETIES OF INVOLUTION SEMIGROUPS, RESIDUAL SMALLNESS AND WEAK CENTRALITY, Deciding active structural completeness, Residual finiteness in permutation varieties of semigroups

Cites Work

• The number of non-isomorphic models in quasi-varieties of semigroups
• On the quasivarieties generated by finite semigroups
• Residually small varieties of semigroups
• Residually small varieties of K-algebras
• Residually small varieties
• Subdirectly Irreducible Algebras in Regular, Permutable Varieties
• Residually Small Varieties with Modular Congruence Lattices
• VARIETIES OF FINITELY APPROXIMABLE GROUPS