Free weighted (modified) differential algebras, free (modified) Rota-Baxter algebras and Gröbner-Shirshov bases

2021/08/08 by Zhu, Zhicheng, Zhang, Huhu, Gao, Xing
#08B20 #12H05 #13P10 #16S10 #16T30 #16W99 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2108.03563

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 Gröbner-Shirshov bases.

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