| 正规环的Fuzzy双侧理想 |
| |
| 引用本文： | 邹开其 刘晓东. 正规环的Fuzzy双侧理想[J]. 模糊系统与数学, 1993, 7(2): 25-32 |
| |
| 作者姓名： | 邹开其 刘晓东 |
| |
| 作者单位： | 大连海运学院(邹开其)，大连海运学院(刘晓东) |
| |
| 摘 要： | 本文首先提出正规环的Fuzzy双侧理想的定义,讨论了Fuzzy双侧理想和Fuzzy理想之间的关系,给出对环、Fuzzy对环、左(右)零环等概念,并在正规环中研究了它们的性质。最后在超正规环和完全正规环中研究了Fuzzy双侧理想和Fuzzy理想,得出一些有趣的结果。
|
| 关 键 词： | 正规环 对环 超正规环 模糊双侧理想 模糊对环 |
Fuzzy Bi-ideals in Regular Ring |
| |
| Zou Kaiqi Liu Xiaodong. Fuzzy Bi-ideals in Regular Ring[J]. Fuzzy Systems and Mathematics, 1993, 7(2): 25-32 |
| |
| Authors: | Zou Kaiqi Liu Xiaodong |
| |
| Abstract: | In this paper we propose the definition of fuzzy bi-ideals in regular ring first, and discuss the relation between fuzzy bi-ideals and fuzzy ideals, we give some concepts of duo, fuzzy duo, left zero ad right zero; and discuss their properties in regular ring. Finally, fuzzy bi-ideals and fuzzy ideals are also stydied in intra-regular ring and completely regular ring. We have got better results. |
| |
| Keywords: | Regular ring Fuzzy bi-ideal Duo ring Fuzzy duo ring Intra-regular ring |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
