Generalization of Neutrosophic Rings and Neutrosophic Fields

Mumtaz Ali; Florentin Smarandache; Muhammad  Shabir; Luige  Vladareanu

Generalization of Neutrosophic Rings and Neutrosophic Fields

Authors

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

Keywords:

Neutrosophic ring, neutrosophic field, neutrosophic biring, neutrosophic N-ring, neutrosophic bifield neutrosophic N-field

Abstract

In this paper we present the generalization of neutrosophic rings and neutrosophic fields. We also extend the neutrosophic ideal to neutrosophic biideal and neutrosophic N-ideal. We also find some new type of notions which are related to the strong or pure part of neuneutrosophy. We have given sufficient amount of examples to illustrate the theory of neutrosophic birings, neutrosophic N-rings with neutrosophic bifields and neutrosophic N-fields and display many properties of them in this paper.

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Published

2014-05-05

Issue

Vol. 5 (2014): Neutrosophic Sets and Systems

Section

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

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. ., & Vladareanu, L. . (2014). Generalization of Neutrosophic Rings and Neutrosophic Fields. Neutrosophic Sets and Systems, 5, 9-14. https://fs.unm.edu/nss8/index.php/111/article/view/534