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


الملخص بالإنكليزية

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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