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.
|Number of pages||25|
|Journal||Journal of Pure and Applied Algebra|
|State||Published - 5 Nov 1989|
ASJC Scopus subject areas
- Algebra and Number Theory