ON DIRECT PRODUCT pure − 1 − 2 − 3 SUBGROUPS IN ABELIAN GROUP Gn×Gm

  • Saif Zuhair Hameed Department of Mathematics, Al Mustansiriyah University, college of basic education, Iraq
  • H. M. A. Abdullah Department of Mathematics, Al Mustansiriyah University, college of basic education, Iraq
Keywords: Subgroup; Abelian group; Direct product; Pure; Pure-1; Pure-2; Pure-3

Abstract

In this paper, we shall define new subgroups which are called pure−1−2−3 in abelian groups Gn×Gm for all n,m∈N which are a family of pure subgroups.

In[1],[2]H.M.A.Abdullah  gave the some general properties of pure− 1−2−3 in abelian group G, but here, we shall prove more than properties on this subgroups in ModGn×Gm, which are not valid for pure subgroups.

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References

H.M.A. Abdullah,”pure−1−2−3 in abelain,”PU.M.A,Italy,No.3-4,vol.3,

pp. 135-139, (1992).

H.M.A. Abdullah, ” On minimal neat subgroup,”ser PU.M.A, Italy, No.3-4, Vol. 3, pp. 141-145, (1992).

Fuchi. Laszlo, ” Abelian group,” USA, 1980.

Published
2017-07-14
How to Cite
Hameed, S., & Abdullah, H. M. A. (2017). ON DIRECT PRODUCT pure − 1 − 2 − 3 SUBGROUPS IN ABELIAN GROUP Gn×Gm. Journal of Progressive Research in Mathematics, 12(2), 1821-1827. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1166
Issue
Vol 12 No 2: JPRM
Section
Articles

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