BiHom-Novikov algebras and infinitesimal BiHom-bialgebras

被引：11
|
作者：
Liu, Ling [1 ]
Makhlouf, Abdenacer [2 ]
Menini, Claudia [3 ]
Panaite, Florin [4 ]
机构：
[1] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China
[2] Univ Haute Alsace, IRIMAS, Dept Math, 6 Bis,Rue Freres Lumiere, F-68093 Mulhouse, France
[3] Univ Ferrara, Dept Math & Comp Sci, Via Machiavelli 30, I-44121 Ferrara, Italy
[4] Inst Math Romanian Acad, POB 1-764, RO-014700 Bucharest, Romania
来源：
JOURNAL OF ALGEBRA | 2020年 / 560卷
关键词：
BiHom-pre-Lie algebra; Infinitesimal BiHom-bialgebra; BiHom-Novikov algebra; BiHom-Novikov-Poisson algebra; Associative BiHom-Yang-Baxter equation; LIE-ALGEBRAS;
D O I：
10.1016/j.jalgebra.2020.06.012
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce and study infinitesimal BiHom-bialgebras, BiHom-Novikov algebras, BiHom-Novikov-Poisson algebras, and find some relations among these concepts. Our main result is to show how to obtain a left BiHom-pre-Lie algebra from an infinitesimal BiHom-bialgebra. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页码：1146 / 1172
页数：27
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