3-Bihom-ρ-Lie Algebras, 3-Pre-Bihom-ρ-Lie Algebras

被引：0
作者：
Zahra Bagheri
Esmaeil Peyghan
机构：
[1] Arak University,Department of Mathematics, Faculty of Science
来源：
Chinese Annals of Mathematics, Series B | 2023年 / 44卷
关键词：
3-Bihom-; -Lie algebra; 3-Pre-Bihom-; Lie algebra; Rota-Baxer operator; 13-03; 17B70; 17B75;
D O I：
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中图分类号：
学科分类号：
摘要：
The purpose is to introduce the notions of 3-Bihom-ρ-Lie algebras and 3-pre-Bihom-ρ-Lie algebras. The authors describe their constructions and express the related lemmas and theorems. Also, they define the 3-Bihom-ρ-Leibniz algebras and show that a 3-Bihom-ρ-Lie algebra is a 3-Bihom-ρ-Leibniz algebra with the ρ-Bihom-skew symmetry property. Moreover, a combination of a 3-Bihom-ρ-Lie algebra bracket and a Rota-Baxer operator gives a 3-pre-Bihom-ρ-Lie algebra structure.
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页码：193 / 208
页数：15
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