On the Normality of One-fibered Monomial Ideals

作     者：Charef Beddani Wahiba Messirdi 

作者机构：Taibah University Department of Mathematics Madinah Kingdom of Saudi Arabia 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2016年第23卷第3期

页      面：501-506页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：integral closure of ideals Rees algebra Rees valuations 

摘      要：This paper presents a generalization to the higher-dimensional situation of the main results of the first author about the normality of one-fibered monomial ideals [2, Theoremes 2.4 and 3.8]. Precisely, we show that if I is a monomial ideal of R = k[x1, x2,..., Xd], then I is normal one-fibered if and only if for all positive integers n and all x, y in R such that xy ∈ I2n, either x or y belongs to In.