MINIMAL SEMIGROUPS GENERATING VARIETIES WITH COMPLEX SUBVARIETY LATTICES

DOI10.1142/S0218196707004189zbMath1143.20037OpenAlexW1987579327MaRDI QIDQ3502840

Edmond W. H. Lee

Publication date: 20 May 2008

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196707004189

zbMATH Keywords

bases of identitieslattices of subvarietiessubvariety latticescomplex semigroupscomplex lattices

Mathematics Subject Classification ID

Lattices of varieties (08B15) Varieties and pseudovarieties of semigroups (20M07)

Related Items

Finite basis problem for semigroups of order five or less: generalization and revisitation. ⋮ A survey on varieties generated by small semigroups and a companion website ⋮ A minimal pseudo-complex monoid ⋮ On the variety generated by all semigroups of order three. ⋮ Varieties of monoids with complex lattices of subvarieties ⋮ Monoid varieties with extreme properties ⋮ On varieties generated by minimal complex semigroups. ⋮ Small semigroups generating varieties with continuum many subvarieties. ⋮ Lattices of semigroup varieties ⋮ Non-Specht variety generated by an involution semigroup of order five ⋮ The lattice of varieties of monoids

Cites Work

• The finite basis question for semigroups of order less than six
• Varieties generated by semigroups of order four
• On two classes of hereditarily finitely based semigroup identities
• Intervals in the lattice of varieties
• Finite semigroups whose varieties have uncountably many subvarieties
• Identity bases for some non-exact varieties.
• Bases for equational theories of semi-groups
• The lattice of semigroup varieties
• Embedding the dual of \(\Pi^\infty\) in the lattice of equational classes of semigroups.
• Identical relations in finite groups
• SUBVARIETIES OF THE VARIETY GENERATED BY THE FIVE-ELEMENT BRANDT SEMIGROUP