Cohomology and deformations of hom-dendriform algebras and coalgebras

DOI10.4064/CM8049-10-2019OpenAlexW3100962471MaRDI QIDQ5037762

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Publication date: 4 March 2022

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

Full work available at URL: https://arxiv.org/abs/2005.14249

zbMATH Keywords

dendriform algebrasformal deformationHom-algebrasdendriform cohomologymultiplicative operad

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Nonassociative algebras satisfying other identities (17A30) Coalgebras and comodules; corings (16T15) (non-Lie) Hom algebras and topics (17D30)

Related Items (4)

Cohomology and deformations of \(\mathcal{O}\)-operators on Hom-associative algebras ⋮ Coquasitriangular infinitesimal BiHom-bialgebras and related structures ⋮ On equivariant dendriform algebras ⋮ Nijenhuis operators on 3-Hom-L-dendriform algebras

Cites Work

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• Homotopy \(G\)-algebra structure on the cochain complex of Hom-type algebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• Some results on Rota-Baxter monoidal Hom-algebras
• On the deformation of rings and algebras
• Hom-dendriform Algebras and Rota-Baxter Hom-algebras
• Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
• HOM-ALGEBRAS AND HOM-COALGEBRAS
• Rota–Baxter operators on BiHom-associative algebras and related structures
• Algebraic Operads
• Dialgebras and related operads
• Pre-Poisson algebras

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