On Mori domains and commutative rings with CC II

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)53-77
Number of pages25
JournalJournal of Pure and Applied Algebra
Issue number1
StatePublished - 5 Nov 1989

ASJC Scopus subject areas

  • Algebra and Number Theory


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