Crossing cubic Lie algebras

被引：1

作者：

Al-Masarwah, Anas ^{[1
]}

Kdaisat, Nadeen ^{[2
]}

Abuqamar, Majdoleen ^{[3
]}

Alsager, Kholood ^{[4
]}

机构：

[1] Ajloun Natl Univ, Fac Sci, Dept Math, POB 43, Ajloun, Jordan

[2] Yarmouk Univ, Dept Math, Shafiq Irshidat St, Irbid 21163, Jordan

[3] Jadara Univ, Fac Sci & Informat Technol, Dept Math, Irbid 21110, Jordan

[4] Qassim Univ, Coll Sci, Dept Math, Buraydah, Saudi Arabia

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 08期

关键词：

Lie algebras; crossing cubic Lie algebras; crossing cubic fields; crossing cubic solvable Lie algebras; crossing cubic nilpotent Lie algebras; fuzzy logic; IDEALS;

D O I：

10.3934/math.20241075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：22112 / 22129

页数：18

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