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arXiv · 1512.01247

On Rings of Differential Rota-Baxter Operators

Xing Gao·Li Guo·Markus Rosenkranz
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Abstract

Using the language of operated algebras, we construct and investigate a class of operator rings and enriched modules induced by a derivation or Rota-Baxter operator. In applying the general framework to univariate polynomials, one is led to the integro-differential analogs of the classical Weyl algebra. These are analyzed in terms of skew polynomial rings and noncommutative Groebner bases.

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Xing Gao, Li Guo, Markus Rosenkranz. 2015-12-03. On Rings of Differential Rota-Baxter Operators. https://arxiv.org/abs/1512.01247

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