The main purpose of this book is to introduce algebraic, combinatorial, and computational
methods to study monomial algebras and their presentation ideals, including Stanley …

Boij–Söderberg theory describes the Betti diagrams of graded modules over the polynomial
ring, up to multiplication by a rational number. Analog Eisenbud–Schreyer theory describes …

This is a survey article featuring some of Wolmer Vasconcelos contributions to commutative
algebra, and explaining how Vasconcelos' work and insights have contributed to the …

To a natural number n, a finite partially ordered set P and a poset ideal J in the poset Hom
(P,[n]) of isotonian maps from P to the chain on n elements, we associate two monomial …

The aim of this book is to provide a theoretical framework to study monomial rings and ideals
associated to graphs, using techniques from graph theory, polyhedral geometry …

The normality of a monomial ideal is expressed in terms of lattice points of blocking
polyhedra and the integer decomposition property. For edge ideals of clutters this property …

We give a generalization of Eagon-Reiner's theorem relating Betti numbers of the Stanley-
Reisner ideal of a simplicial complex and the CM t property of its Alexander dual. Then we …

The Exterior Algebra and Central Notions in Mathematics Page 1 The Exterior Algebra and
Central Notions in Mathematics Gunnar Fløystad Dedicated to Stein Arild Strømme (1951–2014) …

We investigate monomial labelings on cell complexes, giving a minimal cellular resolution of
the ideal generated by these monomials, and such that the associated quotient ring is …

In this paper we consider bi-Cohen-Macaulay graphs, and give a complete classification of
such graphs in the case they are bipartite or chordal. General bi-Cohen-Macaulay graphs …