Some asymptotic properties of the Rees powers of a module

Details Some asymptotic properties of the Rees powers of a module Some asymptotic properties of the Rees powers of a module

2004-08-25

arxiv.org/abs/math/0408351v1

Mathematics

Commutative Algebra

13 pages

Scientific paper

Let R be a commutative ring and let G be a free R-module with positive rank e. For any R-submodule E of G we may consider the image of the symmetric algebra of E by the natural map to the symmetric algebra of G, and then the graded components E_n of the image, that we call the n-th Rees powers of E. In this work we prove some asymptotic properties of the modules E_n, which extend well known similar ones for the case of ideals, among them Burch's inequality for the analytic spread.

Affiliated with

Also associated with

No associations

Rating

Some asymptotic properties of the Rees powers of a module 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 Some asymptotic properties of the Rees powers of a module, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some asymptotic properties of the Rees powers of a module will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-338933