论文标题
戒指的灵魂来源
The Source Of Primeness Of Rings
论文作者
论文摘要
令$ r $为联想戒指。我们定义一个子集$ s_ {r}^{a} $，其中$ a \ in $ r $ of $ r $ as $ s_ {r}^{a} = \ {b \ in r \ mid arb =（0）\} $。然后，集合$ p_ {r} = \ bigcap_ {a \ in r} s_ {r}^{a} $称其为$ r $的精确度来源。我们首先检查了任何环$ r $中的子集$ p_ {r} $的一些基本属性，以及依恋元素，nilpotent元素，零除数元素和身份元素的属性。我们在这些元素的帮助下调查了灵感源的元素的特性。
Let $R$ be an associative ring. We define a subset $S_{R}^{a}$, where $a\in R$ of $R$ as $S_{R}^{a}=\{b\in R \mid aRb=(0)\}$. Then, the set $P_{R} = \bigcap_{a\in R} S_{R}^{a}$ call it the source of primeness of $R$. We first examine some basic properties of the subset $P_{R}$ in any ring $R$, and properties of idempotent elements, nilpotent elements, zero divisor elements and identity elements. And we investigated the properties of the elements of the set source of primeness with the help of these elements.
