Free Bicommutative Algebras

Dzhumadil'daev, A. S., Ismailov, N. A., and Tulenbaev, K. M.. "Free Bicommutative Algebras." Serdica Mathematical Journal 37.1 (2011): 25-44. <http://eudml.org/doc/281571>.

@article{Dzhumadildaev2011,
abstract = {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.},
author = {Dzhumadil'daev, A. S., Ismailov, N. A., Tulenbaev, K. M.},
journal = {Serdica Mathematical Journal},
keywords = {Sequence; Polynomial Identities; Growth of a Variety; Bicommutative Algebras},
language = {eng},
number = {1},
pages = {25-44},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Free Bicommutative Algebras},
url = {http://eudml.org/doc/281571},
volume = {37},
year = {2011},
}

TY - JOUR
AU - Dzhumadil'daev, A. S.
AU - Ismailov, N. A.
AU - Tulenbaev, K. M.
TI - Free Bicommutative Algebras
JO - Serdica Mathematical Journal
PY - 2011
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 37
IS - 1
SP - 25
EP - 44
AB - 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.
LA - eng
KW - Sequence; Polynomial Identities; Growth of a Variety; Bicommutative Algebras
UR - http://eudml.org/doc/281571
ER -