• D. Radha
• M. Vinutha
• C. Raja Lakshmi

Near-rings are generalized rings. If in a ring (N,+, .) we ignore the commutativity of + and one of the distributive laws, (N, +, .) is a near-ring. If we do not stipulate the left distributive law, (N, +, .) is a right near-ring. In this paper, the notion of GS-near ring is given as one of the substructure of a right near ring. It is proved that a quasi weak commutative near ring is a GS-near ring if it is regular. Also we showed that the homomorphic image of a GS-near ring is also a GS-near ring. We obtained that N/I is a GS-near ring for every ideal I of a GS-near ring N. Also we showed that every GS-near ring is isomorphic to a subdirect product of a sub directly irreducible GS-near ring. We observe that GS-near ring has Pierce decomposition with the constant near ring and the zero symmetric near ring and every GS-near ring is subcommutative. Also, every zero-symmetric GS-near ring has (*, IFP) if it is pseudo commutative near ring. In the same context, we proved that GS-near ring has strong IFP and it satisfies P4 property.

Right near-ring, zero-symmetric, subcommutativity, sub directly irreducible near-rings, quasi weak commutative near-ring, pseudo commutative near-ring, IFP, strong IFP, regular.

"A STUDY ON GS-NEAR RING", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.1064-1069, February-2019, Available :http://www.jetir.org/papers/JETIRAB06199.pdf

"A STUDY ON GS-NEAR RING", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp1064-1069, February-2019, Available at : http://www.jetir.org/papers/JETIRAB06199.pdf