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december 2016 Curved Rota-Baxter systems
Tomasz Brzeziński
Bull. Belg. Math. Soc. Simon Stevin 23(5): 713-720 (december 2016). DOI: 10.36045/bbms/1483671622

Abstract

Rota-Baxter systems are modified by the inclusion of a curvature term. It is shown that, subject to specific properties of the curvature form, curved Rota-Baxter systems $(A,R,S,\omega)$ induce associative and (left) pre-Lie products on the algebra $A$. It is also shown that if both Rota-Baxter operators coincide with each other and the curvature is $A$-bilinear, then the (modified by $R$) Hochschild cohomology ring over $A$ is a curved differential graded algebra.

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Tomasz Brzeziński. "Curved Rota-Baxter systems." Bull. Belg. Math. Soc. Simon Stevin 23 (5) 713 - 720, december 2016. https://doi.org/10.36045/bbms/1483671622

Information

Published: december 2016
First available in Project Euclid: 6 January 2017

zbMATH: 06682398
MathSciNet: MR3593571
Digital Object Identifier: 10.36045/bbms/1483671622

Subjects:
Primary: 16E45, 16S99

Rights: Copyright © 2016 The Belgian Mathematical Society

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Vol.23 • No. 5 • december 2016
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