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正则密群上的同余
引用本文:马淑云,刘国新.正则密群上的同余[J].兰州大学学报(自然科学版),2010,46(1).
作者姓名:马淑云  刘国新
作者单位:1. 南阳师范学院,数学与统计学院,河南,南阳,473061
2. 西南大学,数学系,重庆400715
基金项目:Supported by the National Natural Science Foundation of China(10871161)
摘    要:定义了正则密群S上的同余成分(ξ,ηα)和二元关系ρ(ξ,ηα),证明了(ξ,ηα)是同余成分当且仅当ρ(ξ,ηα)是S上的同余,最后刻划了正则密群上的最小纯正同余。

关 键 词:正则密群  同余成分  同余  

Congruences on regular cryptogroups
MA Shu-yun,LIU Guo-xin.Congruences on regular cryptogroups[J].Journal of Lanzhou University(Natural Science),2010,46(1).
Authors:MA Shu-yun  LIU Guo-xin
Institution:1.School of Mathematics and Statistics/a>;Nanyang Normal University/a>;Nanyang 473061/a>;Henan/a>;China/a>;2.Department of Mathematics/a>;Southwest University/a>;Chongqing 400715/a>;China
Abstract:A congruence aggregate (ξ, η_α) and a relation ρ_(ξ, η_α) for a regular cryptogroup S were defined.It was proved that if (ξ, η_α) is a congruence aggregate, then ρ_(ξ, η_α) is a congruence on S and converse.The least orthodox congruence on regular cryptogroups was described finally.
Keywords:regular cryptogroup  congruence aggregate  congruence  
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