Finite Semigroups Whose Varieties Have Uncountably Many Subvarieties

By M. Jackson. 2000

59 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/4f1e76695134da767e8b3b2938155f1d813c8dac

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In Computational Theory and Mathematics

1. Edmond W. H. Lee
2. Mikhail Volkov
3. Ben Steinberg

Citations in the corpus

• Finiteness Properties of Varieties and the Restriction to Finite Algebras (2005, background): “This is because both contain the subvariety V(S({xyx})) which has uncountably many non-finitely based subvarieties by [7].”
• Monoid varieties with extreme properties (2015, background): “In the present article, results of Jackson [10] are extended to the monoid setting to exhibit new easily described examples of monoids that generate monoid varieties of type 2א0 .”
• THE FINITE BASIS PROBLEM FOR FINITE SEMIGROUPS (2001, background): “[Jackson, 2000, Question 4.6] Is the 5-element Brandt semigroup B2 hereditarily finitely based?”