A Study on Neutrosophic Algebra

Authors

  • T. Nagaiah Department of Mathematics, Kakatiya University, Warangal-506009, India
  • L. Bhaskar Department of Mathematics, Kakatiya University, Warangal-506009, India
  • P. Narasimha Swamy Department of Mathematics, Gitam University, Hydarbad, Telangana
  • Said Broumi Laboratory of Information processing, University of Hassan II, Morocco

Keywords:

Neutrosophic set, neutrosophic algebra, neutrosophic algebra isomorphism, ideals of neutrosophic algebra, quotient neutrosophic algebra, neutrosophic subalgebra

Abstract

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.

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Published

2022-06-01

Issue

Vol. 50 (2022): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons 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

Nagaiah, T. ., Bhaskar, L. ., Swamy , P. N. ., & Broumi, S. . (2022). A Study on Neutrosophic Algebra. Neutrosophic Sets and Systems, 50, 111-118. https://fs.unm.edu/nss8/index.php/111/article/view/2513

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