Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583879 | Journal of Algebra | 2016 | 16 Pages |
Abstract
Let I be an ideal of height d in a regular local ring (R,m,k=R/m)(R,m,k=R/m) of dimension n and let Ω denote the canonical module of R/IR/I. In this paper we first prove the equivalence of the following: the non-vanishing of the edge homomorhpism ηd:ExtRn−d(k,Ω)→ExtRn(k,R), the validity of the order ideal conjecture for regular local rings, and the validity of the monomial conjecture for all local rings. Next we prove several special cases of the order ideal conjecture/monomial conjecture.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
S.P. Dutta,