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
@article{SMJ2_2011_37_1_a2,
author = {Dzhumadil'daev, A. S. and Ismailov, N. A. and Tulenbaev, K. M.},
title = {Free {Bicommutative} {Algebras}},
journal = {Serdica Mathematical Journal},
pages = {25--44},
year = {2011},
volume = {37},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2011_37_1_a2/}
}
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/