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TitleConstructions of free commutative integro-differential algebras.
Author(s) Giovanni De Micheli, Xiao Shan Gao
TypeBook, Chapter in Book, Conference Proceeding
AbstractIn 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.
KeywordsDifferential algebra, Rota-Baxter algebra, integro-differential algebra, Gröbner-Shirshov basis, free algebra, shuffle product, mixable shuffle product
ISBN978-3-642-54478-1/pbk
URL http://link.springer.com/chapter/10.1007%2F978-3-642-54479-8_1
LanguageEnglish
Pages1--22
PublisherBerlin: Springer
Year2014
Edition0
Translation No
Refereed No
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