UPPER BOUNDS FOR GK-DIMENSIONS OF FINITELY GENERATED P. I. ALGEBRAS

被引：0

作者：

Berele, Allan ^{[1
]}

机构：

[1] Depaul Univ, Dept Math, Chicago, IL 60614 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 05期

关键词：

GK-dimension; polynomial identity; cocharacter sequence;

D O I：

10.1090/proc/13456

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that if A is characteristic zero algebra generated by k elements and satisfying a polynomial identity of degree d then it has GKdimension less than or equal to k left perpendicular d/2 right perpendicular(2). We conjecture that the stronger upper bound that the GK-dimension of A is less than or equal to (k-1) left perpendicular d/2 right perpendicular(2) + 1 and prove it in a number of special cases.

引用

页码：1859 / 1864

页数：6

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