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 sets, Soft near-rings, Idealistic soft near-rings, Soft near-ring homomorphisms.

A.M.S. subject classification

03G25,20D05.

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