The objective of this paper is to introduce the concept of neutrosophic nearrings. The concept of neutrosophic N-group of a neutrosophic nearring is introduced. We study neutrosophic subnearrings of neutrosophic nearrings and also neutrosophic N-subgroups of neutrosophic N- groups. The notions of neutrosophic ideals in neutrosophic nearrings and neutrosophic N-groups are introduced and their elementary properties are presented. In addition, we introduce the concepts of neutrosophic homomorphisms of neutrosophic nearrings and neutrosophic N-homomorphisms of neutrosophic N-groups and also, we present neutrosophic quotient nearrings and quotient N-groups.
Comments: 14 Pages.
[v1] 2017-06-12 02:20:10
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