An algebraic study of multivariable integration and linear substitution

Markus Rosenkranz, Xing Gao, Li Guo

Research output: Contribution to journalArticle

Abstract

We set up an algebraic theory of multivariable integration, based on a hierarchy of Rota-Baxter operators and an action of the matrix monoid as linear substitutions. Given a suitable coefficient domain with a bialgebra structure, this allows us to build an operator ring that acts naturally on the given Rota-Baxter hierarchy. We conjecture that the operator relations are a noncommutative Gröbner-Shirshov basis for the ideal they generate.

Original languageEnglish (US)
JournalJournal of Algebra and Its Applications
DOIs
StateAccepted/In press - Jan 1 2019

Fingerprint

Substitution
Substitution reactions
Operator
Bialgebra
Algebraic Theory
Monoid
Ring
Coefficient
Hierarchy

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Applied Mathematics

Cite this

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An algebraic study of multivariable integration and linear substitution. / Rosenkranz, Markus; Gao, Xing; Guo, Li.

In: Journal of Algebra and Its Applications, 01.01.2019.

Research output: Contribution to journalArticle

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