Semistar dimension of polynomial rings and Prüfer-like domains

Details Semistar dimension of polynomial rings and Prüfer-like domains Semistar dimension of polynomial rings and Prüfer-like domains

2008-08-09

arxiv.org/abs/0808.1331v2

Mathematics

Commutative Algebra

12 pages

Scientific paper

Let $D$ be an integral domain and $\star$ a semistar operation stable and of finite type on it. In this paper we define the semistar dimension (inequality) formula and discover their relations with $\star$-universally catenarian domains and $\star$-stably strong S-domains. As an application we give new characterizations of $\star$-quasi-Pr\"{u}fer domains and UM$t$ domains in terms of dimension inequality formula (and the notions of universally catenarian domain, stably strong S-domain, strong S-domain, and Jaffard domains). We also extend Arnold's formula to the setting of semistar operations.

Affiliated with

Also associated with

No associations

Rating

Semistar dimension of polynomial rings and Prüfer-like 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 Semistar dimension of polynomial rings and Prüfer-like domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semistar dimension of polynomial rings and Prüfer-like domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-11276