A new example of limit variety (Q1118700)
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scientific article; zbMATH DE number 4095781
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new example of limit variety |
scientific article; zbMATH DE number 4095781 |
Statements
A new example of limit variety (English)
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1989
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Minimal non-finitely based varieties are called limit varieties. Let V be the semigroup variety defined by the identity \(xyx=xyxz\) and \(W\subset V\) the subvariety defined by the additional system \(x_ 1x_ 2x_ 3x_ 4x_ 3=x_ 1x_ 2x_ 3x^ 3_ 4\), \(x^ 2_ 1...x^ 2_ nx_ 1=x^ 2_ 1...x^ 2_ nx_ 2\), \(n=2,3,...\), of identities. It is shown that W is the only limit subvariety of V.
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Minimal non-finitely based varieties
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limit varieties
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semigroup variety
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