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arXiv · 0908.2281

Gr\"obner-Shirshov bases for Rota-Baxter algebras

L. A. Bokut·Yuqun Chen·Xueming Deng
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Abstract

In this paper, we establish the Composition-Diamond lemma for associative nonunitary Rota-Baxter algebras with weight $\lambda$. As applications, we obtain a linear basis of a free commutative Rota-Baxter algebra without unity and show that every countably generated Rota-Baxter algebra with weight 0 can be embedded into a two-generated Rota-Baxter algebra.

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BibTeXRIS

L. A. Bokut, Yuqun Chen, Xueming Deng. 2009-08-17. Gr\"obner-Shirshov bases for Rota-Baxter algebras. https://arxiv.org/abs/0908.2281

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