1 citations · 2 across the 6 of their papers we have counts for
6 papers
Powers of Edge Ideals with Linear Quotients
Etan Basser, Rachel Diethorn, Robert Miranda +1
We prove that second and higher powers of the edge ideals of anticycles admit linear quotient orderings, although the edge ideals themselves do not, thus resolving an open question…
Resolutions of differential operators of low order for an isolated hypersurface singularity
Rachel N. Diethorn, Jack Jeffries, Claudia Miller +4
In this paper we develop a new approach for studying differential operators of an isolated singularity graded hypersurface ring defining a surface in affine three-space over a…
A self-dual complete resolution
Rachel N. Diethorn
We construct a self-dual complete resolution of a module defined by a pair of embedded complete intersection ideals in a local ring. Our construction is based on a gluing construct…
A survey on the Koszul homology algebra
Rachel N. Diethorn
The Koszul homology algebra of a commutative local (or graded) ring tends to reflect important information about the ring and its properties. In fact, certain classes of ri…
Koszul homology of quotients by edge ideals
Rachel N. Diethorn
We show that the Koszul homology algebra of a quotient by the edge ideal of a forest is generated by the lowest linear strand. This provides a large class of Koszul algebras whose…
Generators of Koszul homology with coefficients in a -weak complete intersection module
Rachel N. Diethorn
We discuss a class of modules, which we call -weak complete intersection modules, inspired by the weak complete intersection ideals studied by Rahmati, Striuli, and…