Composition-Diamond Lemma for Differential Algebras
نویسندگان
چکیده
In this paper, we establish the Composition-Diamond lemma for free differential algebras. As applications, we give Gröbner-Shirshov bases for free Lie-differential algebras and free commutative-differential algebras, respectively.
منابع مشابه
Composition-Diamond lemma for λ-differential associative algebras with multiple operators
In this paper, we establish the Composition-Diamond lemma for λ-differential associative algebras over a field K with multiple operators. As applications, we obtain Gröbner-Shirshov bases of free λ-differential Rota-Baxter algebras. In particular, linear bases of free λ-differential Rota-Baxter algebras are obtained and consequently, the free λ-differential Rota-Baxter algebras are constructed ...
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