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Gr\"obner-Shirshov bases for categories

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arxiv 1101.1563 v1 pith:6IORASOP submitted 2011-01-08 math.RA

Gr\"obner-Shirshov bases for categories

classification math.RA
keywords basescategoriescategoryobner-shirshovcomposition-diamondcyclicestablishgive
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In this paper we establish Composition-Diamond lemma for small categories. We give Gr\"obner-Shirshov bases for simplicial category and cyclic category.

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