A Study on Neutrosophic Algebra

The notion of neutrosophic algebra, ideal of neutrosophic algebra, kernel and neutrosophic quotient algebra have been proposed in this paper. We characterize some properties of neutrosophic algebra and proved that every quotient neutrosophic algebra is quotient algebra. Also we proved that every neu...

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Bibliographic Details
Published inNeutrosophic sets and systems Vol. 50; pp. 111 - 118
Main Authors Nagaiah, T, Bhaskar, L, Swamy, P. Narasimha, Broumi, Said
Format Journal Article
LanguageEnglish
Published Neutrosophic Sets and Systems 01.09.2022
University of New Mexico
Subjects
Algebra
Analysis
ideals of neutrosophic algebra
neutrosophic algebra
neutrosophic algebra isomorphism
neutrosophic set
neutrosophic subalgebra
quotient neutrosophic algebra
Smarandache, Florentin
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Summary:The notion of neutrosophic algebra, ideal of neutrosophic algebra, kernel and neutrosophic quotient algebra have been proposed in this paper. We characterize some properties of neutrosophic algebra and proved that every quotient neutrosophic algebra is quotient algebra. Also we proved that every neutrosophic algebra is algebra and direct product of neutrosophic algebras over a neutrosophic field is algebra. Key words: Neutrosophic set, neutrosophic algebra, neutrosophic algebra isomorphism, ideals of neutrosophic algebra, quotient neutrosophic algebra, neutrosophic subalgebra.
ISSN:2331-6055
2331-608X
DOI:10.5281/zenodo.6774651