Perfect ideals of grade 3 can be classified based on algebra structures on their minimal free
resolutions. The classification is incomplete in the sense that it remains open which of the …

Ideals in the ring of power series in three variables can be classified based on algebra
structures on their minimal free resolutions. The classification is incomplete in the sense that …

Over an algebraically closed field we classify all minimal representation-infinite algebras
where the lattice of two-sided ideals is not distributive. As a consequence there are only …

Using the theory of" higher structure maps" from generic rings for free resolutions of length
three, we give a classification of grade 3 perfect ideals with small type and deviation in local …

Free resolutions of fat point ideals on P2 Page 1 JOURNAL OF PURE AND APPLIED
ALGEBRA EISEVIER Journal of Pure and Applied Algebra 125 ( 1998) 2133234 Free …

These are short notes meant for the participants of the August 2020 ICERM workshop on
Finite Free Resolutions and Representation Theory. They are meant to be the guide to a …

MINIMAL FREE RESOLUTIONS OF LINEAR EDGE IDEALS 1. Introduction Let S = k[x 1,...,xn]
be the polynomial ring over a field k. In t Page 1 MINIMAL FREE RESOLUTIONS OF LINEAR …

Minimal free resolutions of graded modules over a noetherian polynomial ring have been
attractive objects of interest for more than a hundred years. We introduce and study two …

We study the minimal free resolution of a quadratic monomial ideal in the case where the
resolution is linear. First, we focus on the squarefree case, namely that of an edge ideal. We …

We will explore some properties of minimal graded free resolutions of R/I, where R is a
trivariate polynomial ring over a field and I is a monomial ideal. Our focus will be to consider …