Journal of the
Korean Mathematical Society
JKMS
Article
ALL ARTICLES
View
J. Korean Math. Soc. 2019; 56(6): 1655-1687
Online first article July 23, 2019 Printed November 1, 2019
https://doi.org/10.4134/JKMS.j180850
Copyright © The Korean Mathematical Society.
$\alpha$-type Hochschild cohomology of Hom-associative algebras and bialgebras
Benedikt Hurle, Abdenacer Makhlouf
Universit\'e de Haute Alsace; Universit\'e de Haute Alsace
In this paper we define a new type of cohomology for multiplicative Hom-associative algebras, which generalizes Hom-type Hochschild cohomology and fits with deformations of Hom-associative algebras including the deformation of the structure map $\alpha$. Moreover, we provide various observations and similarly a new type cohomology of Hom-bialgebras extending the Gerstenhaber-Schack cohomology for Hom-bialgebras and fitting with formal deformations including deformations of the structure map.
Keywords: cohomology, Hom-associative algebra, deformation, Hom-bialgebra, $L_\infty$-structure
MSC numbers: 16W55, 16S99, 16S80, 16T10
Fulltext
Stats or Metrics
Share this article on :
Related articles in JKMS
-
Relative Rota-Baxter systems on Leibniz algebras
2023; 60(2): 303-325
-
Ideal right-angled pentagons in hyperbolic 4-space
2019; 56(4): 1131-1158
-
Ideal right-angled pentagons in hyperbolic 4-space
2019; 56(3): 595-622
-
On projective representations of a finite group and its subgroups I
1996; 33(2): 387-397
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd