Behaviour of Ring Ideal in Neutrosophic and Soft Sense

Tuhin  Bera; Said Broumi; Nirmal Kumar  Mahapatra

Behaviour of Ring Ideal in Neutrosophic and Soft Sense

Authors

Tuhin Bera Department of Mathematics, Boror S. S. High School, Bagnan, Howrah-711312, WB, India
Said Broumi Faculty of Lettres and Humanities, Hay El Baraka Ben M'sik Casablanca B.P. 7951, University of Hassan II - Casablanca, Morocco
Nirmal Kumar Mahapatra Department of Mathematics, Panskura Banamali College, Panskura RS-721152, WB, India

Keywords:

Neutrosophic soft ideal (NSI); Neutrosophic soft prime ideal (NSPI); Homomorphic image

Abstract

This article enriches the idea of neutrosophic soft ideal (NSI). The notion of neutrosophic soft prime ideal (NSPI) is also introduced here. The characteristics of both NSI and NSPI are investigated. Their relations are drawn with the concept of ideal and prime ideal in crisp sense. Any neutrosophic soft set (Nss) can be made into NSI or NSPI using the respective cut set under a situation. The homomorphic characters of ideal and prime ideal in this new class are also drawn critically

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Published

2019-04-06

Issue

Vol. 25 (2019): 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

Bera, T. ., Broumi, S., & Mahapatra, N. K. . (2019). Behaviour of Ring Ideal in Neutrosophic and Soft Sense. Neutrosophic Sets and Systems, 25, 1-24. https://fs.unm.edu/nss8/index.php/111/article/view/131