论文标题
在Gelfand分级的通勤环上
On Gelfand graded commutative rings
论文作者
论文摘要
本文介绍了分级的交换环，其中每个均匀的素数理想都包含在一个独特的均匀最大理想中，称为Gelfand渐变环。目的是建立对这些环的一些拓扑和代数特征，其中之一是Urysohn的引理的代数类似物。最后，我们看一下那些称为PM $^+$分级环的特殊级别的戒指，可以将其视为带有Gelfand strong属性的分级环。
This paper deals with the graded commutative rings in which every homogeneous prime ideal is contained in a unique homogeneous maximal ideal called Gelfand graded ring. The purpose is to establish some topological and algebraic characterizations of these rings, one of which is the algebraic analogue of the Urysohn's lemma. Finally we look at a special class of those graded rings called pm$^+$ graded rings which can be viewed as graded ring with a Gelfand strong property.
