Bimodules and Rota-Baxter Relations
Bimodules and Rota-Baxter Relations
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DOI：
10.4172/2168-9873.1000178
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发表时间：
2015-08
期刊：
影响因子：
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通讯作者：
I. Bakayoko;Momo Banagoura
中科院分区：
文献类型：
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作者：
I. Bakayoko;Momo Banagoura
本文引入并研究了一些具有Rota-Baxter关系的Hom-代数结构的Hom-型双模。我们引入了同结合Rota-Baxter代数上的双模，并给出了它们的各种扭曲以及它们与Hom-PreLie代数上的双模的关系。然后，我们引入了Rota-Baxter q-同树形代数。其次，我们用向量基来表示定义q-Hom-三树形代数的公理。此外，我们还引入了q-同树形代数上的双模，并给出了一些例子，证明了它们是扭闭的。最后，我们给出它们与Hom结合的Rota-Baxter双模的联系。
In this paper we introduce and study Hom-type bimodules of some Hom-algebraic structures endowed with Rota-Baxter relations. We introduce bimodules over Homassociative Rota-Baxter algebras and give their various twisting and their connection with bimodules over Hom-preLie algebras. Then we introduce Rota-Baxter q- Homtridendriform algebras. Next we express axioms defining q-Hom-tridendriform algebras by mean of vector basis. Moreover we introduce bimodules over q-Homtridendriform algebras and give some examples, and prove that they are closed by twisting. Finally we give their connection with Hom-associative Rota-Baxter bimodules.