正规环的Fuzzy双侧理想  

Fuzzy Bi-ideals in Regular Ring

作　　者：邹开其[1] 刘晓东[1] 

机构地区：[1]大连海运学院

出　　处：《模糊系统与数学》1993年第2期25-32,共8页Fuzzy Systems and Mathematics

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。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.

关 键 词：正规环 对环 超正规环 模糊双侧理想 模糊对环 

分 类 号：O159[理学—数学] O153.3[理学—基础数学]