Syzygy Theorems via Comparison of Order Ideals on a Hypersurface

Details Syzygy Theorems via Comparison of Order Ideals on a Hypersurface Syzygy Theorems via Comparison of Order Ideals on a Hypersurface

2011-06-18

arxiv.org/abs/1106.3663v1

Mathematics

Commutative Algebra

To appear in JPAA

Scientific paper

We introduce a weak order ideal property that suffices for establishing the Evans-Griffith Syzygy Theorem. We study this weak order ideal property in settings that allow for comparison between homological algebra over a local ring $R$ versus a hypersurface ring $R/(x^n)$. Consequently we solve some relevant cases of the Evans-Griffith syzygy conjecture over local rings of unramified mixed characteristic $p$, with the case of syzygies of prime ideals of Cohen-Macaulay local rings of unramified mixed characteristic being noted. We reduce the remaining considerations to modules annihilated by $p^s$, $s>0$, that have finite projective dimension over a hypersurface ring.

Affiliated with

Also associated with

No associations

Rating

Syzygy Theorems via Comparison of Order Ideals on a Hypersurface 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 Syzygy Theorems via Comparison of Order Ideals on a Hypersurface, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Syzygy Theorems via Comparison of Order Ideals on a Hypersurface will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-465805