DISCUSSIONS IN INTEGRAL CLOSURE OF POLYNOMIAL IDEALS
DOI:
https://doi.org/10.30495/jme.v17i0.2635Keywords:
Normal Ideal, Cohen-Macaulay Ideal, Monomial Ideal, Index of Stability.Abstract
The main purpose of this paper is the comparison between an ideal and its integral closure and how to obtain the integral closure of ideals in diferent ways. We know that integral closure of a monomial ideal is again a monomial ideal and monomial ideals are associated to graphs. As graphs are widely used in computer science and cryptography in which there are only binary numbers, we introduced the associated matrix to a graph only with digits of 0 and 1. Moreover, we compared and computed the index of stability of associated prime ideals with index of stability of the integral closure of associated prime ideals.Downloads
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