Some Results on Rota–Baxter Monoidal Hom-Algebras

被引:1
|
作者
Tianshui Ma
Huihui Zheng
机构
[1] Henan Normal University,Department of Mathematics School of Mathematics and Information Science
[2] Henan Normal University,Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control School of Mathematics and Information Science
来源
Results in Mathematics | 2017年 / 72卷
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; 16T05; 17B05; 16W99;
D O I
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中图分类号
学科分类号
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
收藏
页码:145 / 170
页数:25
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