TL-带算商环及其直积结构  

TL-quotient ring with operators and its direct product structure

作　　者：吴德文[1] 孙绍权[2] 

机构地区：[1]吉林省教育学院数学系,吉林长春130022 [2]青岛科技大学数理系,山东青岛266061

出　　处：《东北师大学报（自然科学版）》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)

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.

关 键 词：TL-子环 TL-带算子环 TL-带算理想 TL-带算商环 直积 

分 类 号：O159[理学—数学]