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arxiv: 0805.2327 · v2 · submitted 2008-05-15 · 🧮 math.RA

Composition-Diamond lemma for differential algebras

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keywords freealgebraalgebrascomposition-diamonddifferentiallemmaapplicationsbases
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In this paper, we establish the Composition-Diamond lemma for free differential algebras. As applications, we give Groebner-Shirshov bases for free Lie-differential algebra and free commutative-differential algebra, respectively.

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