Depth and minimal number of generators of square free monomial ideals

Details Depth and minimal number of generators of square free monomial ideals Depth and minimal number of generators of square free monomial ideals

2011-07-13

arxiv.org/abs/1107.2621v3

Mathematics

Commutative Algebra

Scientific paper

Let $I$ be an ideal of a polynomial algebra $S$ over a field generated by
square free monomials of degree $\geq d$. If $I$ contains more monomials of
degree $d$ than $(n-d)/(n-d+1)$ of the total number of square free monomials of
$S$ of degree $d+1$ then $\depth_SI\leq d$, in particular the Stanley's
Conjecture holds in this case.

Affiliated with

Also associated with

No associations

Rating

Depth and minimal number of generators of square free monomial ideals 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 Depth and minimal number of generators of square free monomial ideals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Depth and minimal number of generators of square free monomial ideals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-166376