Generalization of Soft Neutrosophic Rings and Soft Neutrosophic Fields

Abstract

In this paper we extend soft neutrosophic rings and soft neutrosophic fields to soft neutrosophic birings, soft neutrosophic N-rings and soft neutrosophic bifields and soft neutrosophic N-fields. We also extend soft neutrosophic ideal theory to form soft neutrosophic biideal and soft neutrosophic N-ideals over a neutrosophic biring and soft neutrosophic N-ring. We have given examples to illustrate the theory of soft neutrosophic birings, soft neutrosophic N-rings and soft neutrosophic fields and soft neutrosophic N-fields and display many properties of these.

Keywords

• Neutrosophic biring
• neutrosophic N-ring
• neutrosophic bifield
• neutrosophic N-field
• soft set
• soft neutrosophic biring
• soft neutrosophic N-ring
• soft neutrosophic bifield
• soft neutrosophic N-field