57 citations · 170 across the 12 of their papers we have counts for
12 papers
Nilpotent evolution algebras over arbitrary fields
A. S. Hegazi, Hani Abdelwahab
The paper is devoted to the study of annihilator extensions of evolution algebras and suggests an approach to classify finite-dimensional nilpotent evolution algebras. Subsequently…
Classification of five-dimensional nilpotent Jordan algebras
A. S. Hegazi, Hani Abdelwahab
The paper is devoted to classify nilpotent Jordan algebras of dimension up to five over an algebraically closed field of characteristic not 2. We obtained a list of 35 isolated non…
On Difference Equations Motivated by Modelling the Heart
E. Ahmed, A. S. Hegazi, A. S. Elgazzar
The analytical structure of some generalizations of the circle map is given. Also a generalization of off centre reflection is studied. The stability of Ito-Glass coupled map latti…
Induced and Coinduced Representations of Hopf Group Coalgebra
A. S. Hegazi, F. Ismail, M. M. Elsofy
In this work we study the induction theory for Hopf group coalgebra. To reach this goal we define a substructure B of a Hopf group coalgebra , called subHopf group coalgebra. Al…
Differential calculus on Hopf Group Coalgebra
A. S. Hegazi, W. Morsi, M. Mansour
In this paper we construct the Differential calculus on the Hopf Group Coalgebra introduced by Turaev [10]. We proved that the concepts introduced by S.L.Woronowicz in constructing…
An Overview of Complex Adaptive Systems
E. Ahmed, A. S. Elgazzar, A. S. Hegazi
Almost every biological, economic and social system is a complex adaptive system (CAS). Mathematical and computer models are relevant to CAS. Some approaches to modeling CAS are gi…