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All Subvarieties of ℒpq Have Finite Bases of Identities

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Abstract

We consider the varieties of lattice ordered groups with the identity of commutation of the nth powers of elements. We establish that every such l-variety with n=pq, where p and q are distinct prime numbers, has a finite basis of identities.

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Authors and Affiliations

  1. Rubtsovsk Industrial Institute, USSR

    N. N. Naritsyn

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  1. N. N. Naritsyn
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Naritsyn, N.N. All Subvarieties of ℒpq Have Finite Bases of Identities. Siberian Mathematical Journal 44, 500–510 (2003). https://doi.org/10.1023/A:1023868932441

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  • DOI: https://doi.org/10.1023/A:1023868932441

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