JP Journal of Algebra, Number Theory and Applications
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Abstract: In
this paper, we begin by giving some properties of zero symmetric part and
constant part in near-rings. We obtain some properties of semidirect product of
near-rings. That is, for any near-ring the
groupis
a semidirect product of a subgroupby
a subgroup Next, we derive that for any idempotent e
in R, the group is
a semidirect product of a normalsubgroupbya subgroup
Keywords and phrases: zero symmetric part, constant part, idempotent, semidirect product.
