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Gröbner Bases for Coloured Operads (2008.05295v1)
Published 6 Aug 2020 in math.CT, math.AT, math.QA, and math.RA
Abstract: In this work we provide a definition of a coloured operad as a monoid in some monoidal category, and develop the machinery of Gr\"obner bases for coloured operads. Among the examples for which we show the existance of a quadratic Gr\"obner basis we consider the seminal Lie-Rinehart operad whose algebras include pairs (functions, vector fields).
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