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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 6, Pages 1329–1336 (Mi smj1259)  
Wreath products and universal equivalence

S. V. Morozova
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Abstract: We consider the question of preservation of universal equivalence for the cartesian and direct wreath products of lattice-ordered groups and groups. We prove that the basic rank is infinite of the quasivariety of torsion-free nilpotent groups of nilpotence length $\leqslant c(c\geqslant2)$.
Keywords: universal equivalence, nilpotent group, lattice-ordered group, quasivariety of groups, basic rank.
Received: 23.12.2002
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 6, Pages 1043–1048
DOI: https://doi.org/10.1023/B:SIMJ.0000007480.41026.41
Bibliographic databases:
UDC: 512.545
Language: Russian
Citation: S. V. Morozova, “Wreath products and universal equivalence”, Sibirsk. Mat. Zh., 44:6 (2003), 1329–1336; Siberian Math. J., 44:6 (2003), 1043–1048
Citation in format AMSBIB
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\pages 1329--1336
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\transl
\jour Siberian Math. J.
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\vol 44
\issue 6
\pages 1043--1048
\crossref{https://doi.org/10.1023/B:SIMJ.0000007480.41026.41}
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    		Сибирский математический журнал Siberian Mathematical Journal
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