The patch topology and the ultrafilter topology on the prime spectrum of a commutative ring

Details The patch topology and the ultrafilter topology on the prime spectrum of a commutative ring The patch topology and the ultrafilter topology on the prime spectrum of a commutative ring

2007-07-10

arxiv.org/abs/0707.1525v2

Mathematics

Commutative Algebra

A Remark was added at the end of the paper. To appear in Comm. Algebra

Scientific paper

Let R be a commutative ring and let Spec(R) denote the collection of prime
ideals of R. We define a topology on Spec(R) by using ultrafilters and
demonstrate that this topology is identical to the well known patch or
constructible topology. The proof is accomplished by use of a von Neumann
regular ring canonically associated with $R$.

Affiliated with

Also associated with

No associations

Rating

The patch topology and the ultrafilter topology on the prime spectrum of a commutative ring 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 The patch topology and the ultrafilter topology on the prime spectrum of a commutative ring, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The patch topology and the ultrafilter topology on the prime spectrum of a commutative ring will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-434446