3-Bihom-?-Lie Algebras, 3-Pre-Bihom-?-Lie Algebras

被引：0
作者：
Bagheri, Zahra [1 ]
Peyghan, Esmaeil [1 ]
机构：
[1] Arak Univ, Fac Sci, Dept Math, Arak 3815688349, Iran
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2023年 / 44卷 / 02期
关键词：
3-Bihom-rho-Lie algebra; 3-Pre-Bihom-rho Lie algebra; Rota-Baxer operator; LIE-ALGEBRAS; REPRESENTATIONS; DEFORMATIONS; COHOMOLOGY;
D O I：
10.1007/s11401-023-0010-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose is to introduce the notions of 3-Bihom-?-Lie algebras and 3-pre-Bihom-?-Lie algebras. The authors describe their constructions and express the related lemmas and theorems. Also, they define the 3-Bihom-?-Leibniz algebras and show that a 3-Bihom-?-Lie algebra is a 3-Bihom-?-Leibniz algebra with the ?-Bihom-skew symmetry property. Moreover, a combination of a 3-Bihom-?-Lie algebra bracket and a Rota-Baxer operator gives a 3-pre-Bihom-?-Lie algebra structure.
引用
收藏
页码：193 / 208
页数：16
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