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.
出处
《河南师范大学学报（自然科学版）》
CAS
CSCD
1995年第2期21-24,共4页
Journal of Henan Normal University(Natural Science Edition)
关键词
模糊子环
模糊投影
模糊理想
Fuzzy subring
Fuzzy prijection
Fuzzy ideal
Direct product
