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
相关论文
共 50 条
  • [41] Product and Complex Structures on 3-Bihom-Lie Algebras
    Li, Juan
    Hou, Ying
    Chen, Liangyun
    ALGEBRA COLLOQUIUM, 2023, 30 (04) : 685 - 700
  • [42] Representations and T*-extensions of δ-Bihom-Jordan-Lie algebras
    Ben Hassine, Abdelkader
    Chen, Liangyun
    Li, Juan
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (02): : 648 - 675
  • [43] Bialgebras and related algebras for Novikov-Poisson algebras
    Sun, Qinxiu
    Zhu, Qianwen
    Li, Zhen
    COMMUNICATIONS IN ALGEBRA, 2025, 53 (05) : 2049 - 2065
  • [44] Rota-Baxter Systems for BiHom-Type Algebras
    Guo, Qiaoling
    Liu, Ling
    Lu, Jiafeng
    Shen, Bingliang
    Wang, Xingting
    MATHEMATICS, 2022, 10 (18)
  • [45] Matching BiHom-Rota-Baxter Algebras and Related Structures
    Teng, Wen
    You, Taijie
    SYMMETRY-BASEL, 2021, 13 (12):
  • [46] Constructions and representation theory of BiHom-post-Lie algebras
    H. Adimi
    T. Chtioui
    S. Mabrouk
    S. Massoud
    Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 2137 - 2157
  • [47] Constructing and Analyzing BiHom-(Pre-)Poisson Conformal Algebras
    Asif, Sania
    Wang, Yao
    SYMMETRY-BASEL, 2024, 16 (11):
  • [48] Bimodules and matched pairs of noncommutative BiHom-(pre)-Poisson algebras
    Laraiedh, Ismail
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2023, 52 (03): : 673 - 697
  • [49] Quasi-Frobenius Novikov algebras and pre-Novikov bialgebras
    Li, Yue
    Hong, Yanyong
    COMMUNICATIONS IN ALGEBRA, 2025, 53 (01) : 308 - 327
  • [50] The cohomology and deformations of O-operators on BiHom-associative algebras
    Huang, Danli
    Liu, Ling
    Lu, Jiafeng
    JOURNAL OF ALGEBRA, 2025, 662 : 138 - 166
12345