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On free Gelfand--Dorfman--Novikov superalgebras and a PBW type theorem
Published 10 Feb 2017 in math.RA | (1702.03922v3)
Abstract: We construct a linear basis of a free GDN superalgebra over a field of characteristic $\neq 2$. As applications, we prove a PBW theorem, that is, any GDN superalgebra can be embedded into its universal enveloping commutative associative differential superalgebra. An Engel theorem under some assumptions is given.
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