Volume 25, Issue 4, July 2018, Pages 589 - 603
Morphisms Cohomology and Deformations of Hom-algebras
Authors
Anja Arfa
Université de Sfax, Sfax, Tunisia,arfaanja.mail@gmail.com
Nizar Ben Fraj
Université de Carthage, Nabeul, Tunisia,benfraj_nizar@yahoo.fr
Abdenacer Makhlouf*
Université de Haute Alsace, IRIMAS, Département de Mathématiques, 6 bis ne des Frères Lumière, 68067 Mulhouse, France,abdenacer.makhlouf@uha.fr
*Corresponding author
Corresponding Author
Abdenacer Makhlouf
Received 21 April 2018, Accepted 4 May 2018, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2018.1503433How to use a DOI?
- Keywords
- Hom-associative algebra morphism; Hom-Lie algebra morphism; cohomology; deformation
- Abstract
The purpose of this paper is to define cohomology complexes and study deformation theory of Hom-associative algebra morphisms and Hom-Lie algebra morphisms. We discuss infinitesimal deformations, equivalent deformations and obstructions. Moreover, we provide various examples.
- Copyright
- © 2018 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Anja Arfa AU - Nizar Ben Fraj AU - Abdenacer Makhlouf PY - 2021 DA - 2021/01/06 TI - Morphisms Cohomology and Deformations of Hom-algebras JO - Journal of Nonlinear Mathematical Physics SP - 589 EP - 603 VL - 25 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2018.1503433 DO - 10.1080/14029251.2018.1503433 ID - Arfa2021 ER -