We study universal theories of partially commutative Lie algebras whose defining graphs are cycles and trees. Within each of the two above-mentioned classes of partially commutative Lie algebras, necessary and sufficient conditions for the coincidence of universal theories are specified.
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E. N. Poroshenko is supported by RFBR (project No. 15-01-01485) and by the Russian Ministry of Education and Science (gov. contract 2014/138, project No. 1052).
Translated from Algebra i Logika, Vol. 56, No. 2, pp. 202-225, March-April, 2017.
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Poroshenko, E.N. Universal Equivalence of Partially Commutative Lie Algebras. Algebra Logic 56, 133–148 (2017). https://doi.org/10.1007/s10469-017-9435-8
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DOI: https://doi.org/10.1007/s10469-017-9435-8