Rota–Baxter operators on BiHom-associative algebras and related structures

DOI10.4064/cm7877-5-2019zbMath1472.17097arXiv1703.07275OpenAlexW3014790921MaRDI QIDQ5126666

Abdenacer Makhlouf, Ling Liu, Menini, Claudia, Florin Panaite

Publication date: 20 October 2020

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07275

zbMATH Keywords

Rota-Baxter operatorBiHom-associative algebraBiHomdendriform algebra

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Yang-Baxter equations and Rota-Baxter operators (17B38) (non-Lie) Hom algebras and topics (17D30)

Related Items (19)

Cohomology and deformations of hom-dendriform algebras and coalgebras ⋮ Rota–Baxter paired comodules and Rota–Baxter paired Hopf modules ⋮ A new approach to Rota–Baxter coalgebras ⋮ BiHom-NS-algebras, twisted Rota-Baxter operators and generalized Nijenhuis operators ⋮ Hom-Leibniz bialgebras and BiHom-Leibniz dendriform algebras ⋮ BiHom-Novikov algebras and infinitesimal BiHom-bialgebras ⋮ Drinfeld double for infinitesimal BiHom-bialgebras ⋮ Constructions and representation theory of BiHom-post-Lie algebras ⋮ Admissible Hom-Novikov-Poisson and Hom-Gelfand-Dorfman color Hom-algebras ⋮ -Rota–Baxter Operators, Infinitesimal Hom-bialgebras and the Associative (Bi)Hom-Yang–Baxter Equation ⋮ Tensor products and perturbations of BiHom-Novikov-Poisson algebras ⋮ The Maschke-type theorem and Morita context for BiHom-smash products ⋮ BiHom-pre-Lie algebras, BiHom-Leibniz algebras and Rota-Baxter operators on BiHom-Lie algebras ⋮ On split involutive regular BiHom-Lie superalgebras ⋮ Constructions of three kinds of BiHom-superalgebras ⋮ Coquasitriangular infinitesimal BiHom-bialgebras and related structures ⋮ Drinfel’d double for monoidal Hom-Hopf algebras ⋮ On equivariant dendriform algebras ⋮ Matching Rota-Baxter BiHom-algebras and related algebraic structures

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