On Fuzzification of n-Lie Algebras
Rings and Algebras
2021-01-20 v1
Abstract
The aim of this paper is to introduce the notion of intuitionistic fuzzy Lie subalgebras and intutionistic fuzzy Lie ideals of n-Lie algebras. It is a generalization of intuitionistic fuzzy Lie algebras. Then, we investigate some of characteristics of intutionistic fuzzy Lie ideals (resp. subalgebras) of n-Lie algeras. Finally, we define the image and the inverse image of intuitionistic fuzzy Lie subalgebra under n-Lie algebra homomorphism. The properties of intuitionistic fuzzy n-Lie subalgebras and intuitionistic fuzzy Lie ideals under homomorphisms of n-Lie algebras are studied. Finally, we define the intuitionistic fuzzy quotient n-Lie algebra by an intuitionistic fuzzy ideal of n-Lie algebra and prove that it is a n-Lie algebra.
Keywords
Cite
@article{arxiv.2101.07650,
title = {On Fuzzification of n-Lie Algebras},
author = {Shadi Shaqaqha},
journal= {arXiv preprint arXiv:2101.07650},
year = {2021}
}