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

作　　者：Zahra BAGHERI Esmaeil PEYGHAN 

机构地区：[1]Department of Mathematics,Faculty of Science,Arak University,Arak 38156-8-8349,Iran

出　　处：《Chinese Annals of Mathematics,Series B》2023年第2期193-208,共16页数学年刊（B辑英文版）

摘　　要：The purpose is to introduce the notions of 3-Bihom-ρ-Lie algebras and 3-preBihom-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 a3-Bihom-ρ-Lie algebra is a 3-Bihom-ρ-Leibniz algebra with theρ-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.

关 键 词：3-Bihom-ρ-Lie algebra 3-Pre-Bihom-ρ-Lie algebra Rota-Baxer operator 

分 类 号：O152.5[理学—数学]