J4 ›› 2013, Vol. 48 ›› Issue (2): 15-19.

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On the fibre product of Zn and its property

CHENG Zhi1,2, SUN Cui-fang2, WANG Ning1, DU Xian-neng1   

  1. 1. School of Mathematical Sciences, Anhui University, Hefei 230039, Anhui, China;
    2. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, Anhui, China
  • Received:2012-06-06 Online:2013-02-20 Published:2013-03-04

Abstract:

The fibre product of Zn in the category of Zmodules is described with the methods of algebra and number theory. The results also apply a way to construct the equalities of Euler function φ(n).

Key words:  fibre product; Euler function; Abelian group

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