Integral Closure of Monomial Ideals

Authors

  • Paola Lea Staglianò Dipartimento di Matematica, Università di Messina

DOI:

https://doi.org/10.1685/

Keywords:

Monomial Ideal, Integral Closure, Graph Theory

Abstract

Let R be a polynomial ring over a field K. If J is an ideal of R generated by square-free monomials, then J is integrally closed. We consider an ideal I of R not generated by square-free monomials and we compute the integral closure of I,Ī. The integral closure Ī is again a monomial ideal. Therefore, the integral closure is a new combinatoric object associated to the ideal. Since monomial ideals are associated to graphs, interactions will occur in various field: networks, transports, computer science, etc. We want to highlight these issues. [DOI: 10.1685/CSC09305] About DOI

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Published

2009-08-12

Issue

Vol. 3 (2009)

Section

Articles

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