• D.Radha
• C.Dhivya
• S.R. Veronica Valli

The concept of gamma near rings (defined by Satyanarayana in 1984) is generalization of both the concepts "gamma ring" and "near ring". The role of Commutativity plays a vital factor in near ring theory as Quasi weak, weak, weakly sub commutative, pseudo commutative, etc. Here, we introduce a new notion called Quasi weak commutative gamma near ring. It is proved that every Quasi Weak Commutative gamma near ring is zero symmetric and is gamma pseudo commutative also when it is weak gamma commutative. Homomorphic image will be a right gamma pseudo commutative and also isomorphic to a subdirect product of sub directly irreducible Quasi weak commutative gamma near ring. If N is a regular Quasi weak commutative gamma near ring, then N is reduced and has (*, IFP).

Gamma near ring, weak commutativity, pseudo commutativity, zero-symmetric, ideal,semi-prime ideal, completely semi prime ideal, reduced.

"A Study on Quasi Weak Commutative Gamma Near Rings", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.494-499, June 2019, Available :http://www.jetir.org/papers/JETIR1907P77.pdf

"A Study on Quasi Weak Commutative Gamma Near Rings", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp494-499, June 2019, Available at : http://www.jetir.org/papers/JETIR1907P77.pdf