Mathematics – Commutative Algebra
Scientific paper
2011-03-09
Mathematics
Commutative Algebra
12 pages, added one corollary and two references
Scientific paper
We prove that dagger closure is trivial in regular domains containing a field and that graded dagger closure is trivial in polynomial rings over a field. We also prove that Heitmann's full rank one closure coincides with tight closure in positive characteristic under some mild finiteness conditions. Furthermore, we prove that dagger closure is always contained in solid closure and that the forcing algebra for an element contained in dagger closure is parasolid.
Brenner Holger
Stäbler Axel
No associations
LandOfFree
Dagger closure in regular rings containing a field 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 Dagger closure in regular rings containing a field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dagger closure in regular rings containing a field will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-644481