Prime Ideals in Noetherian Rings
Rings and Algebras
2011-11-29 v1
Abstract
In this short note we study the links of certain prime ideals of a noetherian ring R. We first give the definition of a link krull symmetric noetherian ring R. We then prove theorem 9 that states that for any linked prime ideals P' and Q' of the polynomial ring R[X] where R is a link krull symmetric noetherian ring, if The prime ideal P' is extended then Q' is also an extended prime ideal of R[X]. An application of theorem 9 is then given in theorem 12 for the ring R[X] when R is assumed to be a fully bounded noetherian ring.
Cite
@article{arxiv.1111.6141,
title = {Prime Ideals in Noetherian Rings},
author = {C. L. Wangneo},
journal= {arXiv preprint arXiv:1111.6141},
year = {2011}
}
Comments
6 pages