On quasi weak commutative near-rings-II

Abstract

A right near-ring \(\mathrm{N}\) is called weak Commutative, ( Definition 9.4 Pilz [9] ) if \(x y z=x z y\) for every \(x, y, z \in N\). A right near-ring \(N\) is called pseudo commutative ( Definition 2.1, S.Uma and others [10] ) if \(x y z=z y x\) for all \(x, y, z \in N\). A right near-ring \(N\) is called quasi weak commutative near-ring if \(x y z=y x z\) for every \(x, y, z \in N\) [4]. In [4], we have obtained some interesting results of quasi-weak commutative near-rings. In this paper we obtain some more results of quasi weak commutative near-rings.