Systems with the integer rounding property in normal monomial subrings

Details Systems with the integer rounding property in normal monomial subrings Systems with the integer rounding property in normal monomial subrings

2008-03-08

arxiv.org/abs/0803.1208v2

An. Acad. Brasil. Cienc 82 (2010), no. 4, 801-811

Mathematics

Commutative Algebra

Major revision

Scientific paper

Let C be a clutter and let A be its incidence matrix. If the linear system x>=0;xA<=1 has the integer rounding property, we give a description of the canonical module and the a-invariant of certain normal subrings associated to C. If the clutter is a connected graph, we describe when the aforementioned linear system has the integer rounding property in combinatorial and algebraic terms using graph theory and the theory of Rees algebras. As a consequence we show that the extended Rees algebra of the edge ideal of a bipartite graph is Gorenstein if and only if the graph is unmixed.

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