Varieties of \(\ell\)-groups with the identity \([x^ p,y^ p]=e\) have finite bases (Q796560)
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scientific article; zbMATH DE number 3865354
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Varieties of \(\ell\)-groups with the identity \([x^ p,y^ p]=e\) have finite bases |
scientific article; zbMATH DE number 3865354 |
Statements
Varieties of \(\ell\)-groups with the identity \([x^ p,y^ p]=e\) have finite bases (English)
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1984
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Let p be a prime. Let us denote by \({\mathcal L}_ p\) the variety of lattice ordered groups defined by the identity \([x^ p,y^ p]=e\). This paper contains the following two main results: 1) All proper subvarieties of the variety \({\mathcal L}_ p\) are constructively described. 2) It is proved that each subvariety of \({\mathcal L}_ p\) possesses a finite basis of identities.
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variety of lattice ordered groups
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finite basis of identities
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