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J4 ›› 2010, Vol. 45 ›› Issue (6): 39-42.

• 论文 • 上一篇    下一篇

关于Abel群同态的扩张

刘静   

  1. 滨州学院数学与信息科学系, 山东 滨州 256603
  • 收稿日期:2009-04-21 出版日期:2010-06-16 发布日期:2010-06-17
  • 作者简介:刘静(1967-),女,副教授,主要从事神经网络稳定性和代数学理论研究.Email: liujing67913@163.com

On extension of homomorphism of Abelian groups

LIU Jing   

  1. Department of Mathematics and Information Science, Binzhou University, Binzhou 256603, Shandong, China
  • Received:2009-04-21 Online:2010-06-16 Published:2010-06-17

摘要:

用纯子群刻画并讨论了Abel 群同态扩张的条件,给出了同态扩张的惟一性条件,并讨论了Abel 群的矩量问题有解的条件。

关键词: Abel 群;纯子群;矩量问题

Abstract:

 A condition of extension of homomorphism of Abelian groups is given by using pure subgroups, and the uniqueness of extension of homomorphism is discussed. Furthermore, a condition for solvability of the moment problem of Abelian groups is obtained.

Key words: Abelian group; pure subgroup; moment problem

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