Fuzzy环中的Fuzzy理想与Fuzzy商环  

Fuzzy Ideals and Fuzzy Quotient Rings in a Fuzzy Ring

作　　者：谭宜家[1] 

机构地区：[1]福州大学数学系

出　　处：《福州大学学报（自然科学版）》1995年第3期14-18,共5页Journal of Fuzhou University(Natural Science Edition)

摘　　要：先引入Ｆｕｚｚｙ环中Ｆｕｚｚｙ理想的概念，进而讨论其基本性质，再证明由Ｆｕｚｚｙ环中的Ｆｕｚｚｙ理想可导出一个商环与２个Ｆｕｚｚｙ商环，其中一个ＦｕｚＺｙ商环是另一个的Ｆｕｚｚｙ理想。We first introduce the concepts or Fuzzy ideals in a Fuzzy ring and discuss some basic properties of them,We also prove that a quotient ring and two Fuzzy quotient rings are induced by a Fuzzy ideal in a Fuzzy ring and one of the two Fuzzy quotient rings is a Fuzzy ideal of the other.

关 键 词：模糊环 模糊理想 模糊商环 

分 类 号：O159[理学—数学]