摘要
引入了TL-带算商环的概念,给出了TL-带算环的同态基本定理,证明了两个TL-带算子环(理想)的直积还是TL-带算子环(理想),并讨论了TL-带算商环的直积结构.T表示完备的Brouwerian格L上任意给定的无穷∨-分配t-模.
<Abstrcat>The concept of TL-quotient ring with operators is introduced and fundamental theorem of homomorhism of TL-subring with operators are given.It is proved that direct product of two TL-subring(ideal)with operators is TL-subring(ideal)with operators and direct product structure of TL- quotient ring with operators is discussed.Where T is an arbitrary infinitely ∨-distributive t-norm on a given complete Brouweran lattice L.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
北大核心
2005年第2期30-32,共3页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(60473042)
关键词
TL-子环
TL-带算子环
TL-带算理想
TL-带算商环
直积
TL-subring
TL-subring with operators
TL-ideal with operators
TL-quotient ring with operators
direct product
