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arxiv: 1401.7392 · v1 · pith:MPO5UT27new · submitted 2014-01-29 · 🧮 math.RA · math.AC· math.CA

Constructions of free commutative integro-differential algebras

classification 🧮 math.RA math.ACmath.CA
keywords algebrascommutativefreeconstructionsintegro-differentialbasesconstructionevaluations
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In this survey, we outline two recent constructions of free commutative integro-differential algebras. They are based on the construction of free commutative Rota-Baxter algebras by mixable shuffles. The first is by evaluations. The second is by the method of Gr\"obner-Shirshov bases.

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