English

Constructions of free commutative integro-differential algebras

Rings and Algebras 2014-06-10 v1 Commutative Algebra Classical Analysis and ODEs

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.

Keywords

Cite

@article{arxiv.1401.7392,
  title  = {Constructions of free commutative integro-differential algebras},
  author = {Xing Gao and Li Guo},
  journal= {arXiv preprint arXiv:1401.7392},
  year   = {2014}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1302.0041