关于一族新的P-并超运算诱导的同余关系  

On Congruence Obtained from a New Family of P-Join Hyperoperations

作　　者：党艳[1] 辛小龙[1] 

机构地区：[1]西北大学数学系,西安710127

出　　处：《重庆工学院学报（自然科学版）》2009年第1期146-150,共5页Journal of Chongqing Institute of Technology

基　　金：陕西省自然科学基金资助项目(07A19)

摘　　要：介绍了一族新的P-并超运算∨p,给出了X上的关于∨1与∧同余的同余关系R1,讨论了R1的相关性质,证明了由R1构造的X上的等价关系Rp为关于∨p与∧,∨同余的同余关系,得出了Rp与Rpx的一系列性质及结论.In this paper, a new family of hyperoperationsis ∨ p introduced, an equivalence relation R1 which is a congruence with respect to ∧ and ∨ 1 is given, some relevant properties of R1 are discussed, then an equivalence relation Rp is constructed by use of R1 which is a congruence with respect to ∧ , ∨ and ∨p. Finally, some properties and results of Rp and Rp （x） are obtained.

关 键 词：超运算 超格 同余 

分 类 号：O152.7[理学—数学]