模糊环 [
mó hu huán]
fuzzy ring
- 引入模糊半理想与模糊商环的概念,讨论了模糊半理想的一系列性质,并建立了关于模糊半理想的对应定理.
The concepts of fuzzy semiideal and fuzzy quotient ring is introduced and some properties of fuzzy semiideal are discussed.At last,several correspondence theorems for fuzzy semiideals are established. - 摘要引入模糊半理想与模糊商环的概念,讨论了模糊半理想的一系列性质,并建立了关于模糊半理想的对应定理。
The concepts of fuzzy semiideal and fuzzy quotient ring is introduced and some properties of fuzzy semiideal are discussed. At last, several correspondence theorems for fuzzy semiideals are established. - 摘要本文定义了模糊一致环概念,研究了它与模糊拓扑环的关系及它与模糊一致空间的关系;给出了借助于环的模糊子集族对模糊一致环的刻画,还引入了模糊一致子环,模糊一致剩余类环与模糊一致环的直积;并讨论了它们的分离性。
In this paper, the fuzzy uniform ring, fuzzy uniform subring, fuzzy uniform residue class ring, and direct product of fuzzy uniform rings are defined; the three necessary and sufficient conditions to describe fuzzy uniform ring by the fuzzy topological ring of type (QU), by fuzzy uniform space and by a family of fuzzy subsets of a ring are obtained.
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