Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 167
Modules Over Hopf Superalgebras
Hakim Moussaoui, Abdenacer Makhlouf, Said Aissaoui
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 23, 2022
March 03, 2152
April 15, 2152

Abstract: Module over superalgebras appear in many areas of mathematics and physics, this notion allows to study the concept of supersymmetry in theoretical physics and they play a more important role in superlinear algebra than superspaces. Aissaoui and Makhlouf classified the Hopf superalgebras in dimension 4 and they obtained five Hopf superalgebras such that each Hopf superalgebra in dimension 4 is isomorphic to one of these five Hopf superalgebras. In this communication, we present the module structures of finite dimensional Hopf superalgebras in the graded case, in particular, we determine the ...