Associative Algebras With Polynomial Identities Growth of Codimensions
Institute of Mathematics and Informatics
Serdica Mathematical Journal, Vol. 26, No 2, (2000), 167p-176p
Let Uc be the variety of associative algebras generated by the
algebra of all upper triangular matrices, the field being arbitrary. We prove
that the upper exponent of any subvariety V ⊂ Uc coincides with the lower
exponent and is an integer.