{ "id": "2005.14249", "version": "v1", "published": "2020-05-28T19:24:44.000Z", "updated": "2020-05-28T19:24:44.000Z", "title": "Cohomology and deformations of hom-dendriform algebras and coalgebras", "authors": [ "Apurba Das" ], "comment": "Appears in Colloquium Mathematicum", "doi": "10.4064/cm8049-10-2019", "categories": [ "math.RA" ], "abstract": "Hom-dendriform algebras are twisted analog of dendriform algebras and are splitting of hom-associative algebras. In this paper, we define a cohomology and deformation for hom-dendriform algebras. We relate this cohomology with the Hochschild-type cohomology of hom-associative algebras. We also describe similar results for the twisted analog of dendriform coalgebras.", "revisions": [ { "version": "v1", "updated": "2020-05-28T19:24:44.000Z" } ], "analyses": { "keywords": [ "hom-dendriform algebras", "deformation", "twisted analog", "hom-associative algebras" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }