Associative Algebras With Polynomial Identities Growth of Codimensions
Issue Date:
2000
Publisher:
Institute of Mathematics and Informatics
Citation:
Serdica Mathematical Journal, Vol. 26, No 2, (2000), 167p-176p
Abstract:
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.