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

Year: 2024
Type: article
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.
Language: English
Open Access status: green
OpenAlex ID: W4405007682
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