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环上的Fuzzy关系
引用本文:丘和. 环上的Fuzzy关系[J]. 成都大学学报(自然科学版), 1993, 12(2): 11-16
作者姓名:丘和
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。

关 键 词:Fuzzy子环  Fuzzy理想  Fuzzy极大理想  Fuzzy素理想  Fuzzy不可约理想  Fuzzy关系

The Fuzzy Relations on the Rings
Qiu He. The Fuzzy Relations on the Rings[J]. Journal of Chengdu University (Natural Science), 1993, 12(2): 11-16
Authors:Qiu He
Abstract: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.
Keywords:fuzzy subring  fuzzy ideal  fuzzy maximal ideal  fuzzy prime ideal  fuzzy irreducible ideal  fuzzy relations
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