Guo, Li, Zheng, Shanghua, Rosenkranz, Markus (2015) Rota-Baxter operators on the polynomial algebras, integration and averaging operators. Pacific Journal of Mathematics, 275 (2). pp. 481-507. ISSN 0030-8730. (doi:10.2140/pjm.2015.275.481) (KAR id:45956)
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Official URL: http://dx.doi.org/10.2140/pjm.2015.275.481 |
Abstract
The concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota–Baxter operators and integrals in the case of the polynomial algebra k[x]
k[x]
. We consider two classes of Rota–Baxter operators, monomial ones and injective ones. For the first class, we apply averaging operators to determine monomial Rota–Baxter operators. For the second class, we make use of the double product on Rota–Baxter algebras.
Item Type: | Article |
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DOI/Identification number: | 10.2140/pjm.2015.275.481 |
Uncontrolled keywords: | Rota-Baxter algebras; integro-differential algebras; integro-differential equations; commutative algebras; classification |
Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA150 Algebra Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Depositing User: | Markus Rosenkranz |
Date Deposited: | 10 Dec 2014 15:54 UTC |
Last Modified: | 10 Dec 2022 13:56 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/45956 (The current URI for this page, for reference purposes) |
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