Integral Closure of Monomial Ideals

Paola Lea Staglianò


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


Monomial Ideal, Integral Closure, Graph Theory

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