Let S= k [x1,…, xn] be a polynomial ring, and let ωS be its canonical module. First, we will
define squarefreeness for N n-graded S-modules. A Stanley–Reisner ring k [Δ]= S/IΔ, its …

Minimal free resolutions that are not supported by a CW-complex Page 1 Journal of Algebra
319 (2008) 102–114 www.elsevier.com/locate/jalgebra Minimal free resolutions that are not …

We construct minimal cellular resolutions of squarefree monomial ideals arising from
hyperplane arrangements, matroids, and oriented matroids. These are Stanley-Reisner …

Minimal graded free resolutions are an important and central topic in algebra. They are a
useful tool for studying modules over finitely generated graded K-algebras. Such a …

We introduce the notion of rigid embedding in a grid surface, a new kind of plane drawing for
simple triconnected planar graphs. Rigid embeddings provide methods to (1) find well …

Full article: On the Linear Strand of an Edge Ideal Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

We show that a monomial ideal I in a polynomial ring S has projective dimension≤ 1 if and
only if the minimal free resolution of S∕ I is supported on a graph that is a tree. This is done …

Let $ R= k [x_1,..., x_n] $ be the polynomial ring in $ n $ independent variables, where $ k $
is a field. In this work we will study Bass numbers of local cohomology modules $ H^ r_I (R) …

Every quotient R/I of a semigroup ring R by a radical monomial ideal I has a unique minimal
injective-like resolution by direct sums of quotients of R modulo prime monomial ideals. The …

1 Algebraic Combinatorics Page 1 1 Algebraic Combinatorics 1.1 Chamber Counting Basic
Constructions Let V be a vector space of dimension l. Let A be an arrangement of n hyperplanes …