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n环R(n)的模刻划和同态基本定理
引用本文:吴志祥,周士藩.n环R(n)的模刻划和同态基本定理[J].苏州大学学报(医学版),1992,8(1):36-41.
作者姓名:吴志祥  周士藩
作者单位:苏州医学院,苏州大学数学系
摘    要:

关 键 词:n环  m群  环同态  n除环

THE CHARACTER OF N-RING R(n) BY MODULES AND ITS FUNDEMANTAL HOMOMORPHISM THEOREM
Wu zhixiang Zhou Shifan Suzhou Medical College Mathematics.THE CHARACTER OF N-RING R(n) BY MODULES AND ITS FUNDEMANTAL HOMOMORPHISM THEOREM[J].Journal of Suzhou University(Natural Science),1992,8(1):36-41.
Authors:Wu zhixiang Zhou Shifan Suzhou Medical College Mathematics
Institution:Wu zhixiang Zhou Shifan Suzhou Medical College Mathematics Department
Abstract:In this paper, we give the Fundemantal Homomorphism Theorem of n-rings of the first class, then we prove that a abelian m-group M is a R(n)-module if and onty if there is a (n, m) ring homomorphism from R(n) to EndM, at Iast we characterise a m division ring with a cyclic module.
Keywords:m-group  n-ring  (n  m) ring homomorphism  n divison ring  
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