A Note on the Buchsbaum-Rim multiplicity of a parameter module

Mathematics – Commutative Algebra

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

9 pages, to appear in Proceedings of the AMS

Scientific paper

In this article we prove that the Buchsbaum-Rim multiplicity $e(F/N)$ of a
parameter module $N$ in a free module $F=A^r$ is bounded above by the colength
$\ell_A(F/N)$. Moreover, we prove that once the equality $\ell_A(F/N)=e(F/N)$
holds true for some parameter module $N$ in $F$, then the base ring $A$ is
Cohen-Macaulay.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

A Note on the Buchsbaum-Rim multiplicity of a parameter 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 A Note on the Buchsbaum-Rim multiplicity of a parameter module, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Note on the Buchsbaum-Rim multiplicity of a parameter module will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-364710

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.