Uncountable interval of varieties of involution semigroups sharing a common semigroup variety reduct

• Autores: Edmond W. H. Lee
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 69, Nº 1, 2025, págs. 163-169
• Idioma: inglés
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• Resumen

  • A pair of involution semigroups sharing a common semigroup reduct of order eight is constructed with the property that the varieties they generate bound an interval that contains an uncountable chain. Consequently, there exist uncountably many non-finitely generated varieties of involution semigroups sharing a common semigroup variety reduct that is finitely generated.