WBR_0-代数的Fuzzy蕴涵理想  

Fuzzy Implicational Ideals of WBR_0-Algebras

作　　者：吴苏朋[1,2] 赵彬[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710119 [2]安康学院数学系,陕西安康725000

出　　处：《吉林大学学报（理学版）》2015年第6期1119-1126,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11171196;11301316;11426148)

摘　　要：通过在WBR0-代数上引入Fuzzy蕴涵理想的概念,讨论Fuzzy蕴涵理想的基本性质,得到了Fuzzy蕴涵理想的几种等价刻画.通过定义Fuzzy同余关系,建立Fuzzy蕴涵理想和Fuzzy同余之间的关系,并利用Fuzzy蕴涵理想诱导了商代数,得到了WBR0-代数的同态基本定理.Firstly,the concept of fuzzy implicational ideals of WBR0-algebras was proposed,some basic properties were discussed and some characterizations were obtained.Secondly,the notions of fuzzy congruences were defined,the relationships between fuzzy implicational ideals and fuzzy congruences were established.Lastly,the quotient algebra was induced by the fuzzy ideal and the homomorphism fundamental theorem was given.

关 键 词：WBR0-代数 Fuzzy蕴涵理想 FUZZY同余关系 商代数 

分 类 号：O141.1[理学—数学]