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Free Bicommutative Algebras

Dzhumadil'daev, A. S.;  Ismailov, N. A.;  Tulenbaev, K. M. — 2011

Serdica Mathematical Journal

2000 Mathematics Subject Classification: Primary 17A50, Secondary 16R10, 17A30, 17D25, 17C50. 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.

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