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arXiv · 0807.3299

w-Divisoriality in Polynomial Rings

Stefania Gabelli·Evan Houston·Giampaolo Picozza
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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.

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Stefania Gabelli, Evan Houston, Giampaolo Picozza. 2008-07-21. w-Divisoriality in Polynomial Rings. https://arxiv.org/abs/0807.3299

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