Fuzzy幂环  

Fuzzy Hyper-ring

作　　者：钟育彬[1] 

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2006年第4期5-10,共6页Journal of Guangzhou University:Natural Science Edition

摘　　要：自李洪兴1991年提出了幂环这一问题以来,多年来既没有找到非平凡的幂环,也没有证明任一环R上仅存在平凡的幂环,2000年作者证明了幂环的存在性,因而将环上的代数结构向其Fuzzy幂集上提升是有意义的.文章提出了Fuzzy幂环的有关概念,得到一系列相关性质,给出一致Fuzzy幂环和正则Fuzzy幂环的结构.Since Li Hongxing raised Hyper-ring in 1991, we ring only existing trivial hyper-ring for several years. Ref. [ 2] useful to study the upgrade from ring to hyper-set. This paper a serious of lemma and proves the structure of uniform Fuzzy have solved neither non-trivial hyper-ring nor any proved the existence of hyper-ring. Therefore it is raises the concept of Fuzzy Hyper-ring, constructs Hyper-ring and regular Fuzzy Hyper-ring.

关 键 词：提升 Fuzzy幂环 一致 Fuzzy幂环 正则Fuzzy 幂环 结构 

分 类 号：O152[理学—数学]