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

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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

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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