w-Divisoriality in Polynomial Rings
Commutative Algebra
2013-05-17 v1
Abstract
We extend the Bass-Matlis characterization of local Noetherian divisorial domains to the non-Noetherian case. This result is then used to study the following question: If a domain D is w-divisorial, that is, if each w-ideal of D is divisorial, then is D[X] automatically w-divisorial? We show that the answer is yes if D is either integrally closed or Mori.
Cite
@article{arxiv.0807.3299,
title = {w-Divisoriality in Polynomial Rings},
author = {Stefania Gabelli and Evan Houston and Giampaolo Picozza},
journal= {arXiv preprint arXiv:0807.3299},
year = {2013}
}
Comments
9 pages Comm. Algebra