论文标题
$ em- $分级戒指
$EM-$Graded Rings
论文作者
论文摘要
本文的主要目的是介绍$ em-g- $分级戒指的概念。这个概念是$ em- $环的概念的扩展。让$ g $是一个组，$ r $为$ g-$级别的交换戒指。 $ g $ $ r $的级别可以通过服用组件$（r [x]）_σ=r_σ[x] $来扩展到$ r [x] $。如果每个均质零除数多项式都有an灭内容，则我们将$ r $定义为$ em-g- $分级戒指。我们提供了不是$ em- $戒指的$ em-g- $分级戒指的示例，我们证明了这些戒指的有趣结果。
The main goal of this article is to introduce the concept of $EM-G-$graded rings. This concept is an extension of the notion of $EM-$rings. Let $G$ be a group and $R$ be a $G-$graded commutative ring. The $G-$gradation of $R$ can be extended to $R[x]$ by taking the components $(R[x])_σ=R_σ[x]$. We define $R$ to be $EM-G-$graded ring if every homogeneous zero divisor polynomial has an annihilating content. We provide examples of $EM-G-$graded rings that are not $EM-$rings and we prove some interesting results regarding these rings.
