Duality, a-invariants and canonical modules of rings arising from linear optimization problems
Abbreviated Journal Title
Bull. Math. Soc. Sci. Math. Roum.
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
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.
Bulletin Mathematique De La Societe Des Sciences Mathematiques De Roumanie
"Duality, a-invariants and canonical modules of rings arising from linear optimization problems" (2008). Faculty Bibliography 2000s. 150.