Toward a classification of prime ideals in Prüfer domains

Details Toward a classification of prime ideals in Prüfer domains Toward a classification of prime ideals in Prüfer domains

2008-10-14

arxiv.org/abs/0810.2402v1

Mathematics

Commutative Algebra

Scientific paper

The primary purpose of this paper is give a classification scheme for the nonzero primes of a Pr\"ufer domain based on five properties. A prime $P$ of a Pr\"ufer domain $R$ could be sharp or not sharp, antesharp or not, divisorial or not, branched or unbranched, idempotent or not. Based on these five basic properties, there are six types of maximal ideals and twelve types of nonmaximal (nonzero) primes. Both characterizations and examples are given for each type that exists.

Affiliated with

Also associated with

No associations

Rating

Toward a classification of prime ideals in Prüfer domains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Toward a classification of prime ideals in Prüfer domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Toward a classification of prime ideals in Prüfer domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-591067