R_0-代数上的同余关系  

Congruence Relations on R_0 -algebras

作　　者：任芳[1] 

机构地区：[1]陕西师范大学数学系,西安710062

出　　处：《工程数学学报》2001年第1期73-77,共5页Chinese Journal of Engineering Mathematics

摘　　要：研究了 R0 -代数上的同余关系。首先通过探讨一类 R0 -代数 ,建立起滤子与同余关系之间的联系 ,进而深入到其乘积上。最后以模糊滤子为工具定义 R0 -代数上的同余关系 ,讨论了滤子与模糊滤子之间的联系 ,并给出了由同余诱导的商 R0The congruence relations on R0-algebras is discussed. The relation between filters and congruence relations is established by studying a class of R0-algebras. Moreover, the congruence relations on multiplicative R0-algebras are studied. Finally, the congruence relations are defined by fuzzy filters, relations between filters and fuzzy filters are discovered and the quotient R0-algebras induced by the congruence relations is given.

关 键 词：R0-代数 同余关系 滤子 模糊滤子 有界分配格 等价关系 

分 类 号：O141.1[理学—数学]