Direct product of Neutrosophic INK Algebras

In this paper, first we define the notion direct product of neutrosophic sets in INK-algebras, neutrosophic set, neutrosophic INK-ideals, neutrosophic closed INK-ideals and direct product of neutrosophic INK-ideals in INK-algebras. We prove some theorems which show that there is some relation betwee...

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Main Authors: M. Kaviyarasu, K. Indhira, V.M. Chandrasekaran
Format: Article
Language:English
Published: University of New Mexico 2020-11-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/NSS/DirectproductOfNeutrosophic15.pdf
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author M. Kaviyarasu
K. Indhira
V.M. Chandrasekaran
author_facet M. Kaviyarasu
K. Indhira
V.M. Chandrasekaran
author_sort M. Kaviyarasu
collection DOAJ
description In this paper, first we define the notion direct product of neutrosophic sets in INK-algebras, neutrosophic set, neutrosophic INK-ideals, neutrosophic closed INK-ideals and direct product of neutrosophic INK-ideals in INK-algebras. We prove some theorems which show that there is some relation between these notions. Finally, we define the INK-subalgebra of INK-algebra and then we give related theorem about the relationship between their Images and direct product of neutrosophic INK-ideals.
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spelling doaj.art-56911990d3404761bedfb674c22c233a2023-07-22T16:10:06ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2020-11-013822723410.5281/zenodo.4300503Direct product of Neutrosophic INK AlgebrasM. KaviyarasuK. IndhiraV.M. ChandrasekaranIn this paper, first we define the notion direct product of neutrosophic sets in INK-algebras, neutrosophic set, neutrosophic INK-ideals, neutrosophic closed INK-ideals and direct product of neutrosophic INK-ideals in INK-algebras. We prove some theorems which show that there is some relation between these notions. Finally, we define the INK-subalgebra of INK-algebra and then we give related theorem about the relationship between their Images and direct product of neutrosophic INK-ideals.https://fs.unm.edu/NSS/DirectproductOfNeutrosophic15.pdfink-algebraneutrosophic setdirect product of neutrosophic ink-subalgebradirect product of neutrosophic ink-ideal
spellingShingle M. Kaviyarasu
K. Indhira
V.M. Chandrasekaran
Direct product of Neutrosophic INK Algebras
Neutrosophic Sets and Systems
ink-algebra
neutrosophic set
direct product of neutrosophic ink-subalgebra
direct product of neutrosophic ink-ideal
title Direct product of Neutrosophic INK Algebras
title_full Direct product of Neutrosophic INK Algebras
title_fullStr Direct product of Neutrosophic INK Algebras
title_full_unstemmed Direct product of Neutrosophic INK Algebras
title_short Direct product of Neutrosophic INK Algebras
title_sort direct product of neutrosophic ink algebras
topic ink-algebra
neutrosophic set
direct product of neutrosophic ink-subalgebra
direct product of neutrosophic ink-ideal
url https://fs.unm.edu/NSS/DirectproductOfNeutrosophic15.pdf
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AT kindhira directproductofneutrosophicinkalgebras
AT vmchandrasekaran directproductofneutrosophicinkalgebras