Fuzzy环与Fuzzy投影  

Fuzzy Subring and It’s Projection

作　　者：周伦 

机构地区：[1]许昌师范专科学校学报编辑部

出　　处：《河南师范大学学报（自然科学版）》1995年第2期21-24,共4页Journal of Henan Normal University(Natural Science Edition)

摘　　要：本文讨论环Ｒ的直积Ｒ×Ｒ上的Ｆｕｚｚｙ子环与其Ｆｕｚｚｙ投影子环的关系，引进了规则Ｆｕｚｚｙ子环的定义，给出了规则Ｆｕｚｚｙ子环成为Ｆｕｚｚｙ子环，Ｆｕｚｚｙ理想的充要条件及规则Ｆｕｚｚｙ子坏的Ｆｕｚｚｙ投影子环为Ｆｕｚｚｙ素理想，Ｆｕｚｚｙ准素理想的充分条件。This paper,we discuses the relationship between fuzzy subring of R×R(Where R is Ring and its fuzzy projecting sugbring.it introduces the Concepts of the regular fuzzy subring and give the sufficient and neeessary condition that a regular fuzzy subring of R×R is a fuzzy ideal of R. At the same time,it showes the sufficient conditions that a regular fuzzy subring of R×R,is a fuzzy prine ideals of R.

关 键 词：模糊子环 模糊投影 模糊理想 

分 类 号：O159[理学—数学]