Duality, a-invariants and canonical modules of rings arising from linear optimization problems

    Authors

    J. P. Brennan; L. A. Dupont;R. H. Villarreal

    Comments

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    Abbreviated Journal Title

    Bull. Math. Soc. Sci. Math. Roum.

    Keywords

    a-invariant; canonical module; Gorenstein ring; normal subring; integer; rounding property; Rees algebra; Ehrhart ring; bipartite graph; max-flow; min-cut; clutter; GRAPHS; POLYTOPES; NORMALITY; IDEALS; CONES; Mathematics

    Abstract

    The aim of this paper is to study integer rounding properties of various 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.

    Journal Title

    Bulletin Mathematique De La Societe Des Sciences Mathematiques De Roumanie

    Volume

    51

    Issue/Number

    4

    Publication Date

    1-1-2008

    Document Type

    Article

    Language

    English

    First Page

    279

    Last Page

    305

    WOS Identifier

    WOS:000260560000002

    ISSN

    1220-3874

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