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.

引用

页码：145 / 170

页数：26

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