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Free product of operads and free basis of Lie-admissible operad
Published 5 Nov 2020 in math.RA | (2011.02954v1)
Abstract: In this paper, we introduce the definition of free product of operads, following the definition of a free product of algebras. There is a given method of finding the basis and dimension of the free product of operads. By anti-commutative operation, Lie-admissible algebra gives Lie algebra. We proved that Lie-admissible operad isomorphic to the free product of Lie and commutative(non-associative) operads.
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