2 papers
math.RA2005
An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension
T H Lenagan, Agata Smoktunowicz
We construct a nil algebra over a countable field which has finite but non-zero Gelfand-Kirillov dimension.
math.RA2004
On primitive ideals in polynomial rings over nil rings
Agata Smoktunowicz
Let R be a nil ring. We prove that primitive ideals in the polynomial ring R[x] in one indeterminate over R are of the form I[x] for some ideals I of R.