Geodesic
Free Bicommutative Algebras
Serdica Mathematical Journal, Tome 37 (2011) no. 1, pp. 25-44.

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Algebras with identities a(bc)=b(ac), (ab)c=(ac)b is called bicommutative. Bases and the cocharacter sequence for free bicommutative algebras are found. It is shown that the exponent of the variety of bicommutaive algebras is equal to 2.
Keywords: Sequence, Polynomial Identities, Growth of a Variety, Bicommutative Algebras 
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Dzhumadil'daev, A. S.; Ismailov, N. A.; Tulenbaev, K. M. Free Bicommutative Algebras. Serdica Mathematical Journal, Tome 37 (2011) no. 1, pp. 25-44. http://geodesic.mathdoc.fr/item/SMJ2_2011_37_1_a2/