w-Divisoriality in Polynomial Rings
| Autor: | Gabelli, Stefania, Houston, Evan, Picozza, Giampaolo |
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| Rok vydání: | 2008 |
| Předmět: | |
| Zdroj: | Comm. Algebra, 37 (2009), 1-11 |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 9 pages Comm. Algebra |
| Databáze: | arXiv |
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