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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 methodof finding the basis and dimension of the free product of operads. Byanti-commutative operation, Lie-admissible algebra gives Lie algebra. We provedthat Lie-admissible operad isomorphic to the free product of Lie andcommutative(non-associative) operads.

Free product of operads and free basis of Lie-admissible operad