Compatible \(\mathcal{O}\)-operators on bimodules over associative algebras

DOI10.1016/j.jalgebra.2019.05.013zbMath1420.13035OpenAlexW2947413448MaRDI QIDQ1999343

Jiefeng Liu, Cheng-Ming Bai, Yun He Sheng

Publication date: 26 June 2019

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2019.05.013

zbMATH Keywords

Maurer-Cartan equationNijenhuis structure\(\mathcal{O}N\)-structure\(\Omega N\)-structure\(P\Omega\)-structure\(PN\)-structure

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Deformations of associative rings (16S80) Bialgebras (16T10)

Related Items (14)

Conformal r-matrix-Nijenhuis structures, symplectic-Nijenhuis structures, and ON-structures ⋮ O-operators and related structures on Leibniz algebras ⋮ Cohomologies and relative Rota-Baxter-Nijenhuis structures of 3-LieRep pairs ⋮ Cohomology and deformations of \(\mathcal{O}\)-operators on Hom-associative algebras ⋮ \(\mathcal{O}\)-operators and Nijenhuis operators of associative conformal algebras ⋮ The 𝓞N-structure on bimodules over associative conformal algebras ⋮ Deformations of associative Rota-Baxter operators ⋮ L ∞ -structures and cohomology theory of compatible O-operators and compatible dendriform algebras ⋮ Nijenhuis operators and associative D-bialgebras ⋮ Cohomology and relative Rota-Baxter-Nijenhuis structures on \(\mathsf{LieYRep}\) pairs ⋮ Matching Hom-setting of Rota-Baxter algebras, dendriform algebras, and pre-Lie algebras ⋮ Matching Rota-Baxter algebras, matching dendriform algebras and matching pre-Lie algebras ⋮ Cohomologies of \textsf{PoiMod} pairs and compatible structures on Poisson algebras ⋮ Pre-Lie analogues of Poisson-Nijenhuis structures and Maurer–Cartan equations

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