Cohomology and deformations of hom-dendriform algebras and coalgebras
Volume 163 / 2021
Colloquium Mathematicum 163 (2021), 37-52
MSC: 17A30, 17A99, 16E40.
DOI: 10.4064/cm8049-10-2019
Published online: 27 May 2020
Abstract
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.
