2 citations · 5 across the 7 of their papers we have counts for
8 papers
On index divisors and monogenity of certain sextic number fields defined by
Lhoussain El Fadil, Omar Kchit
The main goal of this paper is to provide a complete answer to the Problem 22 of Narkiewicz \cite{Nar} for any sextic number field generated by a complex root of a monic ir…
On the monogenity of quartic number fields defined by
Lhoussain El Fadil, István Gaál
For any quartic number field generated by a root of an irreducible trinomial of type , we characterize when is integrally closed. Also for $p=2,3…
On index divisors and monogenity of certain number fields defined by trinomials
Lhoussain El Fadil
For a number field defined by a trinomail , Jakhar and Kumar gave some necessary conditions on and , which guarantee the non-monogenit…
On integral bases and monogenity of pure octic number fields with non-square free parameters
Lhoussain El Fadil, István Gaál
In all available papers, on power integral bases of pure octic number fields , generated by a root of a monic irreducible polynomial , it was assu…
On common index divisors and monogenity of certain number fields defined by
Lhoussain El Fadil
The goal of this paper is to calculate explicitly the field index of any quintic number field generated by a complex root $\al$ of a monic irreducible trinomial $F(x) = x^5+ax+…
On power integral bases of certain pure number fields defined by
Lhoussain El Fadil, Omar Kchit, Hanan Choulli
Let be a pure number field generated by a complex root of a monic irreducible polynomial , with a square free integer. In this pape…