A NOTE ON SEMIDIRECT PRODUCT IN NEAR-RINGS

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 (R, +, .), the group (R, +) is a semidirect product of a subgroup (R-0, +) by a subgroup (Rc, +). Next, we derive that for any idempotent e in R, the group (R, +) is a semidirect product of a normal subgroup (l(e), +) by a subgroup (Re, +).