Finite basis problem for semigroups of order six

DOI10.1112/S1461157014000412zbMath1325.20051OpenAlexW2064349434MaRDI QIDQ2940602

Edmond W. H. Lee, Wen Ting Zhang

Publication date: 27 January 2015

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s1461157014000412

zbMATH Keywords

finite semigroupsbases of identitiesfinite basis problemsemigroup identitiescomputer-aided proofsvarieties of semigroups

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Free semigroups, generators and relations, word problems (20M05) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (15)

The finite basis problem for infinite involution semigroups of triangular \(2 \times 2\) matrices ⋮ On join irreducible \(J\)-trivial semigroups ⋮ Classification of limit varieties of 𝒥-trivial monoids ⋮ A non-finitely based involution semigroup of order five ⋮ A survey on varieties generated by small semigroups and a companion website ⋮ Minimal non-finitely based semigroups. ⋮ FINITE BASIS PROBLEM FOR INVOLUTION MONOIDS OF ORDER FIVE ⋮ Limit varieties generated by finite non-J-trivial aperiodic monoids ⋮ Varieties generated by unstable involution semigroups with continuum many subvarieties ⋮ Equational theories of unstable involution semigroups ⋮ Semiring identities of the Brandt monoid ⋮ From \(A\) to \(B\) to \(Z\) ⋮ Limit varieties of \(J\)-trivial monoids ⋮ A SUFFICIENT CONDITION UNDER WHICH A SEMIGROUP IS NONFINITELY BASED ⋮ Join irreducible semigroups

Cites Work

• Unnamed Item
• Unnamed Item
• Finite basis problem for semigroups of order five or less: generalization and revisitation.
• The finite basis property for varieties of semigroups
• Finite basis problem for 2-testable monoids.
• On the variety generated by all semigroups of order three.
• The finite basis question for semigroups of order less than six
• The monoids of orders eight, nine \& ten.
• Nonfinitely based three-element idempotent groupoids
• One optimal control problem
• The finiteness of a base of identities for five-element monoids
• Varieties generated by semigroups of order four
• On two classes of hereditarily finitely based semigroup identities
• Identities satisfied by a finite ring
• Varieties of associative rings. I
• Identity bases for some non-exact varieties.
• Minimal non-finitely based semigroups.
• Small semigroups generating varieties with continuum many subvarieties.
• Bases for equational theories of semi-groups
• Identical relations in finite groups
• LIMIT VARIETIES GENERATED BY COMPLETELY 0-SIMPLE SEMIGROUPS
• A NEW EXAMPLE OF A MINIMAL NONFINITELY BASED SEMIGROUP
• An example of a finite semigroup without an irreducible basis of identities in the class of completelyo-simple semigroups
• COMBINATORIAL REES–SUSHKEVICH VARIETIES ARE FINITELY BASED
• PROBLEMS OF BURNSIDE TYPE AND THE FINITE BASIS PROPERTY IN VARIETIES OF SEMIGROUPS
• Equational Bases for Lattice Theories.
• IDENTICAL RELATIONS IN FINITE LIE RINGS
• On Identity Bases of Exclusion Varieties for Monoids

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