L. El Fadil

activity

20102022

most citedOn index divisors and monogenity of certain sextic number fields defined by

x^{6} + a x^{5} + b

2 citations · 6 across the 8 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NT2021

On common index divisors and monogenity of certain number fields defined by $x^{5} + a x + b$

Lhoussain El Fadil

The goal of this paper is to calculate explicitly the field index of any quintic number field $K$ generated by a complex root $\al$ of a monic irreducible trinomial $F(x) = x^5+ax+…

math.NT2021

On power integral bases of certain pure number fields defined by $X^{60} - m$

Lhoussain El Fadil, Omar Kchit, Hanan Choulli

Let $K$ be a pure number field generated by a complex root of a monic irreducible polynomial $F (x) = x^{60} - m \in Z [x]$ , with $m \neq = \pm 1$ a square free integer. In this pape…

math.AC2021★ 1 cited

On a Theorem of Dedekind

Abdulaziz Deajim, Lhoussain El Fadil, Ahmed Najim

Let $(K, ν)$ be an arbitrary valued field with valuation ring $R_{ν}$ and $L = K (α)$ , where $α$ is a root of a monic irreducible polynomial $f \in R_{ν} [x]$ . In this paper, we characterize…

On common index divisors and monogenity of certain number fields defined by x5+ax+b

On power integral bases of certain pure number fields defined by X60−m

On a Theorem of Dedekind

On common index divisors and monogenity of certain number fields defined by $x^{5} + a x + b$

On power integral bases of certain pure number fields defined by $X^{60} - m$