On certain finitely based varieties of semigroups

DOI10.1007/BF02195732zbMath0375.20057MaRDI QIDQ1246047

Charles C. Edmunds

Publication date: 1977

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134232

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Semigroups (20M99)

Related Items (27)

Complexity of the identity checking problem for finite semigroups. ⋮ ON THE VARIETY GENERATED BY THE MONOID OF TRIANGULAR 2×2 MATRICES OVER A TWO-ELEMENT FIELD ⋮ On the finite basis problem for the monoids of partial extensive injective transformations. ⋮ Classification of limit varieties of 𝒥-trivial monoids ⋮ Finite basis problem for semigroups of order five or less: generalization and revisitation. ⋮ A non-finitely based involution semigroup of order five ⋮ A minimal pseudo-complex monoid ⋮ The finiteness of a base of identities for five-element monoids ⋮ FINITE BASIS PROBLEM FOR INVOLUTION MONOIDS OF ORDER FIVE ⋮ On the finite basis problem for certain 2-limited words. ⋮ Varieties generated by semigroups of order four ⋮ Catalan monoids inherently nonfinitely based relative to finite \(\mathscr{R}\)-trivial semigroups ⋮ Limit varieties generated by finite non-J-trivial aperiodic monoids ⋮ Finite basis problem for 2-testable monoids. ⋮ LEE MONOIDS ARE NONFINITELY BASED WHILE THE SETS OF THEIR ISOTERMS ARE FINITELY BASED ⋮ Lee monoid \(L_4^1\) is non-finitely based ⋮ Small semigroups generating varieties with continuum many subvarieties. ⋮ On Identity Bases of Exclusion Varieties for Monoids ⋮ Limit varieties of \(J\)-trivial monoids ⋮ Non-finitely based monoids. ⋮ Finitely based monoids. ⋮ Finite semigroups whose varieties have uncountably many subvarieties ⋮ Hereditarily finitely based monoids of extensive transformations. ⋮ A new example of a limit variety of monoids ⋮ The finite basis question for semigroups of order less than six ⋮ Finite basis problem for Lee monoids with involution ⋮ Finite basis problem for the variety generated by all monoids of order five

Cites Work

• Identities satisfied by a finite ring
• Bases for equational theories of semi-groups
• The lattice of equational classes of idempotent semigroups
• Identical relations in finite groups

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