Discussions in Integral Closure of Polynomial Ideals

被引：0
|
作者：
Sajjadian, S. M. [1 ]
Faramarzi, S. O. [2 ]
Mafi, A. [3 ]
机构：
[1] Payame Noor Univ PNU, Dept Math, Tehran, Iran
[2] Payame Noor Univ PNU, Dept Math, Math, Tehran, Iran
[3] Univ Kurdistan, Dept Math, Math, Sanandaj, Iran
来源：
JOURNAL OF MATHEMATICAL EXTENSION | 2023年 / 17卷 / 05期
关键词：
Normal Ideal; Cohen-Macaulay Ideal; Monomial Ideal; Index of Stability; STABILITY;
D O I：
10.30495/JME.2023.2635
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 different 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 introduce the associated matrix to a graph only with digits of 0 and 1. Moreover, we compare and compute the index of stability of associated prime ideals with index of stability of the integral closure of associated prime ideals.
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收藏
页数：17
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