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arXiv · 2108.03563

Free weighted (modified) differential algebras, free (modified) Rota-Baxter algebras and Gr\"{o}bner-Shirshov bases

Zhicheng Zhu·Huhu Zhang·Xing Gao
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Abstract

In this paper, we obtain respectively some new linear bases of free unitary (modified) weighted differential algebras and free nonunitary (modified) Rota-Baxter algebras, in terms of the method of Gr\"{o}bner-Shirshov bases.

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Zhicheng Zhu, Huhu Zhang, Xing Gao. 2021-08-08. Free weighted (modified) differential algebras, free (modified) Rota-Baxter algebras and Gr\"{o}bner-Shirshov bases. https://arxiv.org/abs/2108.03563

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