Universal equivalence of partially commutative Lie algebras
Algebra i logika, Tome 56 (2017) no. 2, pp. 202-225

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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.
Keywords: partially commutative Lie algebra, defining graph, universal theory.
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     author = {E. N. Poroshenko},
     title = {Universal equivalence of partially commutative {Lie} algebras},
     journal = {Algebra i logika},
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     number = {2},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2017_56_2_a4/}
}
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E. N. Poroshenko. Universal equivalence of partially commutative Lie algebras. Algebra i logika, Tome 56 (2017) no. 2, pp. 202-225. http://geodesic.mathdoc.fr/item/AL_2017_56_2_a4/