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

页码：1146 / 1172

页数：27

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