Article overview
Abstract
In this paper, we indicate the study of soft near-rings by using the defi nition of the soft sets. The notions of soft near-rings, soft subnear-rings, soft (left, right) ideals, (left, right) idealistic soft near-rings, soft homomorphisms and soft near-ring homomorphisms are introduced. Also we investigate the soft homomorphism and soft near-ring homomorphism with respect to the homomorphic image and we show that some structures of soft near-rings are preserved under soft near-ring isomorphism.
Keywords and Phrases
Soft setsSoft near-ringsIdealistic soft near-ringsSoft near-ring homomorphisms.
AMS Subject Classification
03G25,20D05.
Reference information
How to Cite
Akin Osman Atagun, Aslihan Sezgin (2018). A NEW VIEW TO NEAR-RING THEORY: SOFT NEAR-RINGS. South East Asian Journal of Mathematics and Mathematical Sciences, 14(3), 01-14.