节点文献
TL-带算商环及其直积结构
TL-quotient ring with operators and its direct product structure
【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.
【Abstract】 <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.
【关键词】 TL-子环；
TL-带算子环；
TL-带算理想；
TL-带算商环；
直积；
【Key words】 TL-subring； TL-subring with operators； TL-ideal with operators； TL-quotient ring with operators； direct product；
【Key words】 TL-subring； TL-subring with operators； TL-ideal with operators； TL-quotient ring with operators； direct product；
【基金】 国家自然科学基金资助项目(60473042)
- 【文献出处】 东北师大学报(自然科学版) ,Journal of Northeast Normal University (Natural Science Edition) , 编辑部邮箱 ,2005年02期
- 【分类号】O153.3
- 【被引频次】2
- 【下载频次】21