Generalization of Neutrosophic Rings and Neutrosophic Fields

Generalization of Neutrosophic Rings and Neutrosophic Fields

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 neutrosophy. We have given sufficie...

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Main Authors: Mumtaz Ali, Florentin Smarandache, Muhammad Shabir, Luige Vladareanu
Format: Article
Language:English
Published: University of New Mexico 2014-09-01
Series:Neutrosophic Sets and Systems
Subjects:
Neutrosophic ring
neutrosophic field
neutrosophic biring
neutrosophic N-ring
Online Access:http://fs.gallup.unm.edu/NSS/Generalization%20of%20Neutrosophic%20Rings.pdf
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spelling doaj-6be053b3f06e4b7d8b9595a5ab9ba0c52020-11-25T01:31:13ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2014-09-015914Generalization of Neutrosophic Rings and Neutrosophic Fields Mumtaz Ali0Florentin Smarandache1Muhammad Shabir2Luige Vladareanu3Quaid-i-Azam University, Islamabad, PakistanUniversity of New Mexico, USAQuaid-i-Azam University, Islamabad, PakistanInstitute of Solid Mechanics, Bucharest, RomaniaIn 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 neutrosophy. 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.http://fs.gallup.unm.edu/NSS/Generalization%20of%20Neutrosophic%20Rings.pdfNeutrosophic ringneutrosophic fieldneutrosophic biringneutrosophic N-ring
collection DOAJ
language English
format Article
sources DOAJ
author Mumtaz Ali
Florentin Smarandache
Muhammad Shabir
Luige Vladareanu
spellingShingle Mumtaz Ali
Florentin Smarandache
Muhammad Shabir
Luige Vladareanu
Generalization of Neutrosophic Rings and Neutrosophic Fields
Neutrosophic Sets and Systems
Neutrosophic ring
neutrosophic field
neutrosophic biring
neutrosophic N-ring
author_facet Mumtaz Ali
Florentin Smarandache
Muhammad Shabir
Luige Vladareanu
author_sort Mumtaz Ali
title Generalization of Neutrosophic Rings and Neutrosophic Fields
title_short Generalization of Neutrosophic Rings and Neutrosophic Fields
title_full Generalization of Neutrosophic Rings and Neutrosophic Fields
title_fullStr Generalization of Neutrosophic Rings and Neutrosophic Fields
title_full_unstemmed Generalization of Neutrosophic Rings and Neutrosophic Fields
title_sort generalization of neutrosophic rings and neutrosophic fields
publisher University of New Mexico
series Neutrosophic Sets and Systems
issn 2331-6055
2331-608X
publishDate 2014-09-01
description 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 neutrosophy. 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.
topic Neutrosophic ring
neutrosophic field
neutrosophic biring
neutrosophic N-ring
url http://fs.gallup.unm.edu/NSS/Generalization%20of%20Neutrosophic%20Rings.pdf
work_keys_str_mv AT mumtazali generalizationofneutrosophicringsandneutrosophicfields
AT florentinsmarandache generalizationofneutrosophicringsandneutrosophicfields
AT muhammadshabir generalizationofneutrosophicringsandneutrosophicfields
AT luigevladareanu generalizationofneutrosophicringsandneutrosophicfields
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