Journal of Nonlinear Mathematical Physics

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
https://doi.org/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/).

Download article (PDF)
View full text (HTML)

Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
25 - 4
Pages
589 - 603
Publication Date
2021/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1080/14029251.2018.1503433How to use a DOI?
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/).

Cite this article

TY  - JOUR
AU  - Anja Arfa
AU  - Nizar Ben Fraj
AU  - Abdenacer Makhlouf
PY  - 2021
DA  - 2021/01
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  - https://doi.org/10.1080/14029251.2018.1503433
ID  - Arfa2021
ER  -