On the Normality of One-fibered Monomial Ideals  

作　　者：Charef Beddani Wahiba Messirdi 

机构地区：[1]Taibah University, Department of Mathematics Madinah, Kingdom of Saudi Arabia

出　　处：《Algebra Colloquium》2016年第3期501-506,共6页代数集刊（英文版）

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.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.

关 键 词：integral closure of ideals Rees algebra Rees valuations 

分 类 号：O174.52[理学—数学] O153.3[理学—基础数学]