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Cohomology and deformations of hom-dendriform algebras and coalgebras

Volume 163 / 2021

Apurba Das Colloquium Mathematicum 163 (2021), 37-52 MSC: 17A30, 17A99, 16E40. DOI: 10.4064/cm8049-10-2019 Published online: 27 May 2020


Hom-dendriform algebras are twisted analogs of dendriform algebras and are splittings of hom-associative algebras. In this paper, we define a cohomology and deformations for hom-dendriform algebras. We relate this cohomology to the Hochschild-type cohomology of hom-associative algebras. We also describe similar results for the twisted analog of dendriform coalgebras.


  • Apurba DasDepartment of Mathematics and Statistics
    Indian Institute of Technology Kanpur
    Kanpur 208016, India

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