Ideals in $P_k$ and $P_k’$ seminear-rings
Authors :
R. Perumala and R. Balakrishnanb,*
Author Address :
aDepartment of Mathematics, Kumaraguru College of Technology, Coimbatore-641049, Tamilnadu, India .
bDepartment of Mathematics, V.O.Chidambaram College, Thoothukudi-628008, Tamilnadu, India.
*Corresponding author.
Abstract :
In this paper we discuss in detail the behaviour of ideals in $P_k$ and $P_k’$ seminear-rings. We derive especially the properties of $P_1$ and $P_1’$ seminear-rings and also prove that every left ideal (right ideal) of $R$ is a right ideal (left ideal) if and only if $R$ is a $P_1$ ($P_1’$ ) seminear-ring.
Keywords :
Left (Right) ideal, Left(Right) normal seminear-ring, $P_k$ and $P_k’$ seminear-rings.
DOI :
Article Info :
Received : August 10, 2013; Accepted : September 01, 2013.