9 M ay 2 00 5 An infinite dimensional affine nil algebra with finite Gelfand - Kirillov dimension ∗
نویسنده
چکیده
We construct a nil algebra over a countable field which has finite but non-zero Gelfand-Kirillov dimension. 2000 Mathematics subject classification: 16N, 16P90.
منابع مشابه
An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension∗
The famous 1960’s construction of Golod and Shafarevich yields infinite dimensional nil, but not nilpotent, algebras. However, these algebras have exponential growth. Here, we construct an infinite dimensional nil, but not nilporent, algebra which has polynomially bounded growth. 2000 Mathematics subject classification: 16N, 16P90. ∗Part of this work was done while the second author was visitin...
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تاریخ انتشار 2005