On Quasi Weak Commutative Near-rings-II

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Authors :

G. Gopalakrishnamoorthya,* S.Geethab and S. Anithac

Author Address :

aDepartment of Mathematics, PSNL College of Education, Sattur-626 203, Tamil Nadu, India.
bDepartment of Mathematics, Pannai College of Engineering and Technology, Sivaganga-630 561, Tamil Nadu, India.
cDepartment of Mathematics, Raja Doraisingam Government Arts College, Sivaganga-630 561, Tamil Nadu, India.

*Corresponding author.

Abstract :

A right near-ring N is called weak Commutative,( Definition 9.4 Pilz [9] ) if xyz = xzy  for every x,y,z $ \varepsilon $ N. A right near-ring N is called pseudo commutative ( Definition 2.1, S.Uma and others [10] ) if xyz = zyx for all x,y,z $ \varepsilon $ N. A right near-ring N is called quasi  weak commutative near-ring if xyz = yxz for every x,y,z $ \varepsilon $ 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.

Keywords :

Quasi-weak commutative near-ring, Boolean-like near-ring.

DOI :

Article Info :

Received : October 10, 2014; Accepted : March 23, 2015.