摘要
本文旨在讨论R上的Fuzzy关系与环上R上的Fuzzy子环之间的联系。并由此而建立环R上的Fuzzy关系成为Fuzzy子环,Fuzzy理想,Fuzzy极大理想的充分必要条件及环R上的Fuzzy子集成为Fuzzy素理想与Fuzzy不可约理想的充分条件。
In this paper, we discuss the relationship between fuzzy relations in rings and fuzzy subrings. We establish the sufficient and necessary conditions that fuzzy relations in rings become fuzzy subrings, fuzzy ideals and fuzzy maximal ideals. At the same time, we show the sufficient conditiors that fuzzy relations in rings become fuzzy prime ideals and irreducible ideals.
出处
《成都大学学报（自然科学版）》
1993年第2期11-16,共6页
Journal of Chengdu University（Natural Science Edition）
关键词
环
模糊子环
模糊理想
模糊关系
fuzzy subring
fuzzy ideal
fuzzy maximal ideal
fuzzy prime ideal
fuzzy irreducible ideal
fuzzy relations
