alpha-type Hochschild cohomology of Hom-associative algebras and bialgebras
J. Korean Math. Soc.
Published online 2019 Apr 10
Benedikt HURLE, and Abdenacer MAKHLOUF
Université de Haute Alsace, France
Abstract : In this paper we define a new type cohomology for multiplicative Hom-associative algebras, which generalize 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
Full-Text :

   

Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang.co., Ltd