Abstract
We construct here an example of a Mori domain A such that A[[X]] is not Mori. We show that a finitely generated overring of a factorial domain is not necessarily Mori. We present two criteria for the Mori property. The first criterion leads to a characterization of Mori polynomial extensions. The second criterion is the following: a domain is Mori if and only if it contains a Mori ideal which is prime and unitary or maximal divisorial. We generalize Mori pullbacks.
Original language | English |
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Pages (from-to) | 53-77 |
Number of pages | 25 |
Journal | Journal of Pure and Applied Algebra |
Volume | 61 |
Issue number | 1 |
DOIs | |
State | Published - 5 Nov 1989 |
ASJC Scopus subject areas
- Algebra and Number Theory