Finite basis problem for semigroups of order five or less: generalization and revisitation.

DOI10.1007/s11225-012-9369-zzbMath1283.20063OpenAlexW2073188806MaRDI QIDQ361862

Edmond W. H. Lee

Publication date: 19 August 2013

Published in: Studia Logica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11225-012-9369-z

zbMATH Keywords

finite semigroupssemigroup varietiesbases of identitiesfinite basis problemsemigroup identitiesfinitely based semigroupshereditarily finitely based semigroupshereditary finitely based varietiesminimal non-finitely based semigroupsmonoid varieties

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05)

Related Items (15)

Finite basis problem for semigroups of order six ⋮ A non-finitely based involution semigroup of order five ⋮ A survey on varieties generated by small semigroups and a companion website ⋮ A minimal pseudo-complex monoid ⋮ Minimal non-finitely based semigroups. ⋮ FINITE BASIS PROBLEM FOR INVOLUTION MONOIDS OF ORDER FIVE ⋮ IDENTITIES IN BRANDT SEMIGROUPS, REVISITED ⋮ Monoid varieties with extreme properties ⋮ A sufficient condition for the non-finite basis property of semigroups. ⋮ Equational theories of unstable involution semigroups ⋮ Non-finitely based monoids. ⋮ Non-Specht variety generated by an involution semigroup of order five ⋮ Finitely based finite involution semigroups with non-finitely based reducts ⋮ Intervals of varieties of involution semigroups with contrasting reduct intervals ⋮ On the finite basis problem for the variety generated by all \(n\)-element semigroups.

Uses Software

• Smallsemi

Cites Work

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