Lee, Edmond W. H. Varieties generated by 2-testable monoids. (English) Zbl 1274.20057 Stud. Sci. Math. Hung. 49, No. 3, 366-389 (2012). A semigroup is 2-testable if it satisfies any identity formed by a pair of words that begin with the same letter, end with the same letter, and share the same set of factors of length two. It is shown that there are 28 monoid varieties generated by 2-testable monoids; all are finitely generated and 19 of them are finitely based. Reviewer: Jaak Henno (Tallinn) Cited in 1 ReviewCited in 19 Documents MSC: 20M07 Varieties and pseudovarieties of semigroups 08B15 Lattices of varieties Keywords:2-testable semigroups; varieties of monoids; finitely based varieties; finitely generated varieties; finite basis problem PDFBibTeX XMLCite \textit{E. W. H. Lee}, Stud. Sci. Math. Hung. 49, No. 3, 366--389 (2012; Zbl 1274.20057) Full Text: DOI