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.