On Complex Neutrosophic Lie Algebras

Authors

M. Parimala
Florentin Smarandache, University of New MexicoFollow
M. Al Tahan
C. Ozel

Document Type

Article

Publication Date

2022

Abstract

Complex neutrosophic Lie subalgebras and complex neutrosophic ideals of Lie algebras are defined in this paper. Each component in complex neutrosophic Lie algebra has magnitude and phase terms. Some characteristics of complex neutrosophic Lie subalgebras (ideals) and some of their operations like intersection and Cartesian product are also discussed. Moreover, the relationship between complex neutrosophic Lie subalgebras (ideals) and neutrosophic Lie subalgebras (ideals) is investigated. Finally, the image and the inverse image of complex neutrosophic Lie subalgebra under Lie algebra homomorphisms are defined and the properties of complex neutrosophic Lie subalgebras and complex neutrosophic ideals under homomorphisms of Lie algebras are studied.

Publication Title

Palestine Journal of Mathematics

Language (ISO)

English

Keywords

Lie algebra, subalgebra, complex neutrosophic set, complex neutrosophic subalgebra, complex neutrosophic Lie ideal.

Recommended Citation

Parimala, M.; Florentin Smarandache; M. Al Tahan; and C. Ozel. "On Complex Neutrosophic Lie Algebras." Palestine Journal of Mathematics (2022). https://digitalrepository.unm.edu/math_fsp/590

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.