Constructions of free commutative integro-differential algebras

Published 29 Jan 2014 in math.RA, math.AC, and math.CA | (1401.7392v1)

Abstract: 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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