Representations and modules of Rota-Baxter algebras

DOI10.4310/AJM.2021.v25.n6.a3MaRDI QIDQ2092691

Yanyan Li

Publication date: 3 November 2022

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01531

zbMATH Keywords

coalgebramatrix representationRota-Baxter algebraring of Rota-Baxter operatorsRota-Baxter module

Mathematics Subject Classification ID

Coalgebras and comodules; corings (16T15) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items (11)

Representations and cohomologies of relative Rota-Baxter Lie algebras and applications ⋮ Rota-Baxter operators on Turaev's Hopf group (co)algebras. I: Basic definitions and related algebraic structures ⋮ Rota-Baxter paired modules and their constructions from Hopf algebras ⋮ Quasi-triangular and factorizable antisymmetric infinitesimal bialgebras ⋮ Bimodules over relative Rota-Baxter algebras and cohomologies ⋮ Modules of non-unital polynomial Rota-Baxter algebras ⋮ Representations of the Laurent series Rota-Baxter algebras and regular-singular decompositions ⋮ On rings of differential Rota–Baxter operators ⋮ Factorizable Lie bialgebras, quadratic Rota-Baxter Lie algebras and Rota-Baxter Lie bialgebras ⋮ Rota-Baxter modules toward derived functors ⋮ An algebraic study of multivariable integration and linear substitution

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