Composition-Diamond lemma for differential algebras

Rings and Algebras (math.RA) 16S15, 13P10, 16S32 FOS: Mathematics Mathematics - Rings and Algebras 0101 mathematics 01 natural sciences
DOI: 10.48550/arxiv.0805.2327 Publication Date: 2008-01-01
ABSTRACT
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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