Title

Duality, A-Invariants And Canonical Modules Of Rings Arising From Linear Optimization Problems

Keywords

A-invariant; Bipartite graph; Canonical module; Clutter; Ehrhart ring; Gorenstein ring; Integer rounding property; Max-flow min-cut; Normal subring; Rees algebra

Abstract

The aim of this paper is to study integer rounding properties of various systems of linear inequalities to gain insight about the algebraic properties of Rees algebras of monomial ideals and monomial subrings. We study the normality and Gorenstein property-as well as the canonical module and the a-invariant-of Rees algebras and subrings arising from systems with the integer rounding property. We relate the algebraic properties of Rees algebras and monomial subrings with integer rounding properties and present a duality theorem.

Publication Date

12-1-2008

Publication Title

Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie

Volume

51

Issue

4

Number of Pages

279-305

Document Type

Article

Personal Identifier

scopus

Socpus ID

77953942173 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/77953942173

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