Generalization of Soft Neutrosophic Rings and Soft Neutrosophic Fields

Authors

  • Mumtaz Ali Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000,Pakistan
  • Florentin Smarandache Department of Mathematics, University of New Mexico 705 Gurley Ave. Gallup, NM 87301, USA
  • Luige Vladareanu Institute of Solid Mechanics, Bucharest, Romania
  • Muhammad Shabir Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000,Pakistan

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

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.

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Published

2014-05-05

Issue

Vol. 6 (2014): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Ali, M. ., Smarandache, F., Vladareanu, L., & Shabir, M. (2014). Generalization of Soft Neutrosophic Rings and Soft Neutrosophic Fields. Neutrosophic Sets and Systems, 6, 34-40. https://fs.unm.edu/nss8/index.php/111/article/view/583

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