Title of article :
Primitive Algebras with Arbitrary Gelfand-Kirillov Dimension
Author/Authors :
Uzi Vishne، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1999
Pages :
9
From page :
150
To page :
158
Abstract :
We construct, for every real β ≥ 2, a primitive affine algebra with Gelfand-Kirillov dimension β. Unlike earlier constructions, there are no assumptions on the base field. In particular, this is the first construction over or L. Given a recursive sequence {vn} of elements in a free monoid, we investigate the quotient of the free associative algebra by the ideal generated by all nonsubwords in {vn}. We bound the dimension of the resulting algebra in terms of the growth of {vn}. In particular, if νn is less than doubly exponential, then the dimension is 2. This also answers affirmatively a conjecture of Salwa (1997, Comm. Algebra 25, 3965–3972).
Journal title :
Journal of Algebra
Serial Year :
1999
Journal title :
Journal of Algebra
Record number :
694402
Link To Document :
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