Soft Neutrosophic Ring and Soft Neutrosophic Field

Authors

  • Mumtaz Ali Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000,Pakistan
  • Florentin Smarandache University of New Mexico, Math & Science Division, 705 Gurley Ave., Gallup, NM 87301, USA
  • Muhammad Shabir Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000,Pakistan
  • Munazza Naz Department of Mathematical Sciences, Fatima Jinnah Women University, The Mall, Rawalpindi, 46000, Pakistan

Keywords:

Neutrosophic ring, neutrosophic field, neutrosophic ring homomorphism, soft neutrosophic

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 of these. At the end of this paper, we gave soft neutrosophic ring homomorphism

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Published

2020-09-18

Issue

Vol. 3 (2014): Neutrosophic Sets and Systems vol. 3 (201`4)

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., Shabir, M., & Naz, M. (2020). Soft Neutrosophic Ring and Soft Neutrosophic Field. Neutrosophic Sets and Systems, 3, 53-59. http://fs.unm.edu/nss8/index.php/111/article/view/554

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