Title
Duality, a-invariants and canonical modules of rings arising from linear optimization problems
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
ISSN
1220-3874
Recommended Citation
"Duality, a-invariants and canonical modules of rings arising from linear optimization problems" (2008). Faculty Bibliography 2000s. 150.
https://stars.library.ucf.edu/facultybib2000/150
Comments
Authors: contact us about adding a copy of your work at STARS@ucf.edu