Soft Neutrosophic Ring and Soft Neutrosophic Field

Abstract

In this paper we extend the theory of neutrosophic rings and neutrosophic fields to soft sets and construct soft neutrosophic rings and soft neutrosophic fields. We also extend neutrosophic ideal theory to form soft neutrosophic ideal over a neutrosophic ring and soft neutrosophic ideal of a soft neutrosophic ring. We have given many examples to illustrate the theory of soft neutrosophic rings and soft neutrosophic fields and display many properties of these. At the end of this paper we gave soft neutrosophic ring homomorphism.

Keywords

• Neutrosophic ring
• neutrosophic field
• neutrosophic ring homomorphism
• soft neutrosophic