| 强symmetric环 |
| |
| 引用本文： | 任艳丽,徐之晓.强symmetric环[J].数学的实践与认识,2010,40(19). |
| |
| 作者姓名： | 任艳丽 徐之晓 |
| |
| 基金项目： | 国家自然科学基金，辽宁省教育厅科研基金 |
| |
| 摘 要： | 为了统一交换环和约化环的层表示,Lambek引进了Symmetric环.继续symmetric环的研究,定义引入了强symmetric环的概念,研究它的一些扩张性质.证明环R是强symmetric环当且仅当Rx]是强symmetric环当且仅当Rx;x~(-1)]是强symmetric环.也证明对于右Ore环R的经典右商环Q,R是强symmetric环当且仅当Q是强symmetric环.
|
| 关 键 词： | symmetric环 强symmetric环 多项式环 经典商环 |
Strongly Symmetric Rings |
| |
| REN Yan-li,XU Zhi-xiao.Strongly Symmetric Rings[J].Mathematics in Practice and Theory,2010,40(19). |
| |
| Authors: | REN Yan-li XU Zhi-xiao |
| |
| Abstract: | Symmetric rings were introduced by lamber to unifg sheef representations of commutative rings and reduced rings.In this paper,we continue the study of symmetric rings,introduce the concept of strongly symmetric rings and investigate some properties of extensions.We proved that a ring R is a strongly symmetric ring if and only if Rx]isa strongly symmetric ring if and only if Rx;x~(-1)]is a strongly symmetric ring.We also proved that for a right Ore ring R with Q its classical right quotient ring,R is a strongly symmetric ring if and only if Q is a strongly symmetric ring. |
| |
| Keywords: | symmetric ring strongly symmetric ring polynomial ring classical quotient ring |
| 本文献已被 万方数据 等数据库收录！ |
|
