Abstract
We prove some necessary and sufficient conditions of the universal equivalence of the nilpotent R-groups of class 2 defined by trees, with R a binomial Euclidean ring.
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References
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Mishchenko A. A., “Universal equivalence of partially commutative nilpotent Q-groups of class 2,” Vestnik Omsk Univ. Special Issue, 61–67 (2008).
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Original Russian Text Copyright © 2011 Mishchenko A. A. and Timoshenko E. I.
The authors were supported in part by the Russian Foundation for Basic Research (Grants 09-01-00099 and 08-01-00067). Novosibirsk.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 52, No. 5, pp. 1113–1122, September–October, 2011.
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Mishchenko, A.A., Timoshenko, E.I. Universal equivalence of partially commutative nilpotent groups. Sib Math J 52, 884–891 (2011). https://doi.org/10.1134/S0037446611050132
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DOI: https://doi.org/10.1134/S0037446611050132