• D. Radha
• C. Raja Lakshmi

A near ring N is called pseudo commutative if xyz=zyx for every x,y,z in N. It is quite natural to investigate the corresponding definition in the field seminear ring. In this paper, we define a seminear-ring N to be pseudo commutative seminear-ring if xyz=zyx for every x,y,z∈N. It is proved that in a pseudo commutative seminear ring, every idempotent is central and the homomorphic image of pseudo commutative seminear ring is also so. It is observed that every commutative seminear ring is pseudo commutative seminear ring and the converse is true if it has an identity. The condition under which a weak commutative seminear-ring is pseudo commutative and vice versa is obtained. Also we proved that every pseudo commutative seminear-ring has (*,IFP). A pseudo commutative seminear ring M is reduced and also every ideal in M is completely semiprime if it is regular.

Seminear rings, regular, idempotent, central element, commutative seminear rings, weak commutativity, IFP ideals.

"A STUDY ON PSEUDO COMMUTATIVE SEMINEAR RINGS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.1082-1088, February-2019, Available :http://www.jetir.org/papers/JETIRAB06202.pdf

"A STUDY ON PSEUDO COMMUTATIVE SEMINEAR RINGS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp1082-1088, February-2019, Available at : http://www.jetir.org/papers/JETIRAB06202.pdf