학술논문
Fuzzy 3-Lie algebra.
Document Type
Journal
Author
Guo, Wei (PRC-NNU) AMS Author Profile; Chen, Liangyun (PRC-NNU) AMS Author Profile; Peng, Jiarong (PRC-NNU) AMS Author Profile
Source
Subject
17 Nonassociative rings and algebras -- 17B Lie algebras and Lie superalgebras
17B99None of the above, but in this section
17B99
Language
English
Abstract
Summary: ``In this paper, we have tried to apply the concepts of fuzzy sets to 3-Lie algebra, then we define some concepts related to fuzzy sets and discuss their properties. In the following paper we introduce and study a new sort of fuzzy 3-Lie algebra of a 3-Lie algebra called ($\in,\in\vee q)$-fuzzy 3-Lie algebra. These fruzzy 3-Lie algebras are characterized by their level subalgebras. Finally, we give a generalization of $(\in,\in\vee q)$-fuzzy 3-Lie algebras.''