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单位群U(Zn)里非单位元的阶都是2的剩余类环
引用本文:梁华.单位群U(Zn)里非单位元的阶都是2的剩余类环[J].喀什师范学院学报,2009,30(6):13-14.
作者姓名:梁华
作者单位:淮阴师范学院数学系,江苏,淮安,223300
摘    要:利用初等数论的一些基本知识和重要结论,证明了单位群里非单位元的阶都是2的剩余类环Zn只有Z3,Z4,Z6,Z8,Z12和Z24.

关 键 词:单位群      剩余类

The Residue Class Rings of 2 Order of Nonidential Elements in Identital Groups U(Zn)
LIANG Hua.The Residue Class Rings of 2 Order of Nonidential Elements in Identital Groups U(Zn)[J].Journal of Kashgar Teachers College,2009,30(6):13-14.
Authors:LIANG Hua
Institution:LIANG Hua (Department of Mathematics, Huaiyin Teachers College, Huaiyin 223300,Jiangsu,China)
Abstract:We give that residue class rings of 2 order of nonidenlital elements in identital groups are Z3, Z4, Z6, Z8, Z12 and Z24 by using some basic knowledge and important results in Elementary Number Theory.
Keywords:Identital group  Module : Order  Residue class
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