Minimal Resolutions of Lattice Ideals and Integer Linear Programming

Morales, Emilio Briales; Campillo, A.; Pisón-Casares, Pilar; Vigneron-Tenorio, A.

doi:10.4171/rmi/347

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2010

2018

Publication Types

Select...

Article1

Book1

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This graded minimal free resolution of R/I has been explored by many authors with remarkable success (see e.g. [3] and the references therein).…”

Section: Introductionmentioning

confidence: 99%

Simplicial complexes and minimal free resolution of monomial algebras

Ojeda

Vigneron-Tenorio

2010

Journal of Pure and Applied Algebra

View full text Add to dashboard Cite

This paper is concerned with the combinatorial description of the graded minimal free resolution of certain monomial algebras which includes toric rings. Concretely, we explicitly describe how the graded minimal free resolution of those algebras is related to the combinatorics of some simplicial complexes. Our description may be interpreted as an algorithmic procedure to partially compute this resolution.Comment: 20 pages, this work was presented as a poster at the 'International Conference on Commutative, Combinatorial and Computational Algebra in Honour of Pilar Pison Casares' Seville, February 11 - 16, 2008. http://departamento.us.es/da/actividades/ciaccc.ht

show abstract

“…This graded minimal free resolution of R/I has been explored by many authors with remarkable success (see e.g. [3] and the references therein).…”

Section: Introductionmentioning

confidence: 99%