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TitleParametric Jordan form assignment revisited.
Author(s) Jana Königsmarkova, Milovs Schlegel
TypeArticle in Journal
AbstractIn this paper, we construct free commutative integro-differential algebras by applying the method of Gröbner–Shirshov bases. We establish the Composition-Diamond Lemma for free commutative differential Rota–Baxter (DRB) algebras of order n. We also obtain a weakly monomial order on these algebras, allowing us to obtain Gröbner–Shirshov bases for free commutative integro-differential algebras on a set. We finally generalize the concept of functional monomials to free differential algebras with arbitrary weight and generating sets from which to construct a canonical linear basis for free commutative integro-differential algebras.
KeywordsDifferential algebra; Rota–Baxter algebra; integro-differential algebra; Gröbner–Shirshov basis; free algebra; shuffle product; mixable shuffle product
ISSN1561-8625; 1934-6093/e
URL http://www.worldscientific.com/doi/abs/10.1142/S0219498813501600
LanguageEnglish
JournalAsian J. Control
Volume16
Number2
Pages409--420
PublisherWiley (Wiley-Blackwell), Richmond, VIC
Year2014
Edition0
Translation No
Refereed No
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