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Constructions of free commutative integro-differential algebras

arXiv:1401.7392

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 Gröbner-Shirshov bases.

arXiv admin note: substantial text overlap with arXiv:1302.0041