English

On primitive ideals in polynomial rings over nil rings

Rings and Algebras 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0411046,
  title  = {On primitive ideals in polynomial rings over nil rings},
  author = {Agata Smoktunowicz},
  journal= {arXiv preprint arXiv:math/0411046},
  year   = {2007}
}

Comments

Accepted for publication in "Algebras and Representation Theory"

R2 v1 2026-07-22T17:11:50.865Z