@article{Al-Masarwah2024, 
author = {Anas Al-Masarwah and Nadeen Kdaisat and Majdoleen Abuqamar and Kholood Alsager},
title = {Crossing cubic Lie algebras},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {22112-22129},
keywords = {Lie algebras, crossing cubic Lie algebras, crossing cubic fields, crossing cubic solvable Lie algebras, crossing cubic nilpotent Lie algebras, fuzzy logic},
url = {https://www.sciopen.com/article/10.3934/math.20241075},
doi = {10.3934/math.20241075},
abstract = {An interval-valued fuzziness structure is an effective approach addressing ambiguity and for expressing people's hesitation in everyday situations. An  N-structure is a novel technique for solving practical problems. This is beneficial for resolving a variety of issues, and a lot of progress is being made right now. In order to develop crossing cubic structures ( CCSs), Jun et al. amalgamate interval-valued fuzziness and  N-structures. In this manuscript, our main contribution is to originate the concepts of crossing cubic ( CC) Lie algebra,  CC Lie sub-algebra, ideal, and homomorphism. We investigate some properties of these concepts. In a Lie algebra, the construction of a quotient Lie algebra via the  CC Lie ideal is provided. Furthermore, the  CC isomorphism theorems are presented.}
}