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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 3, Pages 636–649 (Mi smj1202)  
All subvarieties of $\mathscr{L}_{pq}$ have finite bases of identities

N. N. Naritsyn

Rubtsovsk Industrial Intitute, Branch of Altai State Technical University
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Abstract: We consider the varieties of lattice ordered groups with the identity of commutation of the $n$-th powers of elements. We establish that every such $\ell$-variety with $n=pq$, where $p$ and $q$ are distinct prime numbers, has a finite basis of identities.
Keywords: variety, lattice ordered group, identity, finite basis.
Received: 16.04.2002
Revised: 18.11.2002
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 3, Pages 500–510
DOI: https://doi.org/10.1023/A:1023868932441
Bibliographic databases:
UDC: 512.545
Language: Russian
Citation: N. N. Naritsyn, “All subvarieties of $\mathscr{L}_{pq}$ have finite bases of identities”, Sibirsk. Mat. Zh., 44:3 (2003), 636–649; Siberian Math. J., 44:3 (2003), 500–510
Citation in format AMSBIB
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\vol 44
\issue 3
\pages 636--649
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\zmath{https://zbmath.org/?q=an:1033.20027}
\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 3
\pages 500--510
\crossref{https://doi.org/10.1023/A:1023868932441}
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