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

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Abstract

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.
Original languageAmerican English
Pages (from-to)163–169
Number of pages7
JournalPublicacions Matemàtiques
Volume69
Issue number1
DOIs
StatePublished - 2025

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