The Rees quotient monoid \(M(abba)\) generates a variety with uncountably many subvarieties (Q6623529)
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scientific article; zbMATH DE number 7931097
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Rees quotient monoid \(M(abba)\) generates a variety with uncountably many subvarieties |
scientific article; zbMATH DE number 7931097 |
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The Rees quotient monoid \(M(abba)\) generates a variety with uncountably many subvarieties (English)
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24 October 2024
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An isoterm graph is a directed graph whose vertices are variables and edges correspond to a pattern of occurrence of variables that form a specified isoterm for some monoid. The author utilises isoterm graphs to show that the variety generated by \(M(abba)\) has continuum many subvarieties. The author shows that the monoid \(M(abba)\) is of type \(2^{\aleph_0}\) (Theorem 5).
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finite monoid
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subvariety
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isoterm graph
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