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Mathematics > Rings and Algebras

arXiv:1806.01169 (math)
[Submitted on 4 Jun 2018]

Title:$α$-type Hochschild cohomology of Hom-associative algebras and Hom-bialgebras

Authors:Benedikt Hurle, Abdenacer Makhlouf
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Abstract:In this paper we define a new cohomology for multiplicative Hom-associative algebras, which generalize Hochschild cohomology and fits with deformations of Hom-associative algebras including the structure map $\alpha$. It is a generalization of the known Hochschild-type cohomology for Hom-associative algebras defined by Amar, Ejbehi and Makhlouf. Moreover, we provide various observations and similarly a new cohomology of Hom-bialgebras extending the Gerstenhaber-Schack cohomology for Hom-bialgebras given by Dekkar and Makhlouf.
Subjects: Rings and Algebras (math.RA); K-Theory and Homology (math.KT)
Cite as: arXiv:1806.01169 [math.RA]
  (or arXiv:1806.01169v1 [math.RA] for this version)
  https://doi.org/10.48550/arXiv.1806.01169

Submission history

From: Abdenacer Makhlouf [view email]
[v1] Mon, 4 Jun 2018 16:08:03 UTC (28 KB)
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