PI-algebras with slow codimension growth

JOURNAL OF ALGEBRA

卷:284

Article

Giambruno, A ; La Mattina, D

关键词: polynomial identity;    T-ideal;    codimensions;   

DOI  :  10.1016/j.jalgebra.2004.09.003

来源: Elsevier

【 摘 要 】

Let c(n) (A), n = 1, 2,..., be the sequence of codimensions of an algebra A over afield F of characteristic zero. We classify the algebras A (up to PI-equivalence) in case this sequence is bounded by a linear function. We also show that this property is closely related to the following: if l(n) (A), n = 1. 2...., denotes the sequence of colengths of A, counting the number of S-n-irreducibles appearing in the nth cocharacter of A, then lim(n)-->infinity l(n) (A) exists and is bounded by 2. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

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