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| 3-Bihom-ρ-Lie Algebras, 3-Pre-Bihom-ρ-Lie Algebras |
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Citation： |
Zahra BAGHERI,Esmaeil PEYGHAN.3-Bihom-ρ-Lie Algebras, 3-Pre-Bihom-ρ-Lie Algebras[J].Chinese Annals of Mathematics B,2023,44(2):193~208 |
| Page view： 656
Net amount： 516 |
Authors： |
Zahra BAGHERI; Esmaeil PEYGHAN |
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| Abstract： |
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 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. |
Keywords： |
3-Bihom-ρ-Lie algebra, 3-Pre-Bihom-ρ-Lie algebra, Rota-Baxer operator |
Classification： |
13-03, 17B70, 17B75 |
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