Article ID Journal Published Year Pages File Type
8897549 Journal of Pure and Applied Algebra 2018 20 Pages PDF
Abstract
A Rota-Baxter operator is an algebraic abstraction of integration, which is the typical example of a weight zero Rota-Baxter operator. We show that studying the modules over the polynomial Rota-Baxter algebra (k[x],P) is equivalent to studying the modules over the Jordan plane, and we generalize the direct decomposability results for the (k[x],P)-modules in [13] from algebraically closed fields of characteristic zero to fields of characteristic zero. Furthermore, we provide a classification of Rota-Baxter modules up to isomorphism based on indecomposable k[x]-modules.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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