ON DIRECT PRODUCT pure − 1 − 2 − 3 SUBGROUPS IN ABELIAN GROUP Gn×Gm
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.Full Text:
PDFReferences
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.
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