w-Divisoriality in Polynomial Rings
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2008
- DOI:
- 10.48550/arXiv.0807.3299
- arXiv:
- arXiv:0807.3299
- Bibcode:
- 2008arXiv0807.3299G
- Keywords:
-
- Mathematics - Commutative Algebra;
- 13A15;
- 13F05;
- 13F20
- E-Print:
- 9 pages Comm. Algebra