Some Results on Rota-Baxter Monoidal Hom-Algebras

被引：14
|
作者：
Ma, Tianshui [1 ,2 ]
Zheng, Huihui [1 ]
机构：
[1] Henan Normal Univ, Sch Math & Informat Sci, Dept Math, Xinxiang 453007, Peoples R China
[2] Henan Normal Univ, Sch Math & Informat Sci, Henan Engn Lab Big Data Stat Anal & Optimal Contr, Xinxiang 453007, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2017年 / 72卷 / 1-2期
关键词：
Rota-Baxter monoidal Hom-(co) algebra; Rota-Baxter monoidal Hom-system; monoidal Hom-dendriform algebra; Radford biproduct; Rota-Baxter monoidal Hom-bialgebra;
D O I：
10.1007/s00025-016-0641-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give constructions of Rota-Baxter monoidal Hom-(co)algebras from Hom-Hopf module (co)algebras, and then introduce the concept of Rota-Baxter monoidal Hom-bialgebras. Furthermore, we consider the relations between Rota-Baxter monoidal Hom-systems and monoidal Hom-dendriform algebras, and also derive the structures of pre-Lie Hom-(co)algebras via Rota-Baxter monoidal Hom-(co)algebras of different weight.
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页码：145 / 170
页数：26
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