Results on a neutrosophic sub-rings

The goal of this paper is to create an algebraic structure based on single-valued neutrosophic sets. We present a novel approach to the neutrosophic sub-ring and ideal by combining the classical ring with neutrosophic sets. We also introduce and investigate some of the fundamental properties of the...

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Published in:AIMS Mathematics
Main Authors: Amr Elrawy, Mohamed Abdalla
Format: Article
Language:English
Published: AIMS Press 2023-07-01
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231090?viewType=HTML
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author Amr Elrawy
Mohamed Abdalla
author_facet Amr Elrawy
Mohamed Abdalla
author_sort Amr Elrawy
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container_title AIMS Mathematics
description The goal of this paper is to create an algebraic structure based on single-valued neutrosophic sets. We present a novel approach to the neutrosophic sub-ring and ideal by combining the classical ring with neutrosophic sets. We also introduce and investigate some of the fundamental properties of the concepts. Finally, we show how to use a neutrosophic ideal to make a decision.
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spelling doaj-art-20a535474dbc4e689ae84cf00d83c4e82025-08-19T20:07:26ZengAIMS PressAIMS Mathematics2473-69882023-07-0189213932140510.3934/math.20231090Results on a neutrosophic sub-ringsAmr Elrawy0Mohamed Abdalla11. Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt2. Department of Mathematics, King Khalid University, Abha 61471, Saudi ArabiaThe goal of this paper is to create an algebraic structure based on single-valued neutrosophic sets. We present a novel approach to the neutrosophic sub-ring and ideal by combining the classical ring with neutrosophic sets. We also introduce and investigate some of the fundamental properties of the concepts. Finally, we show how to use a neutrosophic ideal to make a decision.https://www.aimspress.com/article/doi/10.3934/math.20231090?viewType=HTMLneutrosophic setneutrosophic sub-ringneutrosophic ideal
spellingShingle Amr Elrawy
Mohamed Abdalla
Results on a neutrosophic sub-rings
neutrosophic set
neutrosophic sub-ring
neutrosophic ideal
title Results on a neutrosophic sub-rings
title_full Results on a neutrosophic sub-rings
title_fullStr Results on a neutrosophic sub-rings
title_full_unstemmed Results on a neutrosophic sub-rings
title_short Results on a neutrosophic sub-rings
title_sort results on a neutrosophic sub rings
topic neutrosophic set
neutrosophic sub-ring
neutrosophic ideal
url https://www.aimspress.com/article/doi/10.3934/math.20231090?viewType=HTML
work_keys_str_mv AT amrelrawy resultsonaneutrosophicsubrings
AT mohamedabdalla resultsonaneutrosophicsubrings