L. El Fadil

activity

20192022

collaborators

3 papers

math.NT2022

On index divisors and monogenity of certain number fields defined by $x^{12} + a x^{m} + b$

Lhoussain El Fadil, Omar Kchit

In this paper, we deal with the problem of monogenity of number fields defined by monic irreducible trinomials $F (x) = x^{12} + a x^{m} + b \in Z [x]$ with $1 \leq m \leq 11$ . We give s…

math.NT2021

On monogenity of certain pure number fields defined by $x^{p^{r}} - m$

Hamid Ben Yakkou, Lhoussain El Fadil

Let $K = Q (α)$ be a pure number field generated by a complex root $α$ a monic irreducible polynomial $F (x) = x^{p^{r}} - m$ , with $m \neq = 1$ is a square free rational in…

math.NT2019

A Dedekind's Criterion over Valued Fields

Lhoussain El Fadil, Mhammed Boulagouaz, Abdulaziz Deajim

Let $(K, ν)$ be an arbitrary-rank valued field, $R_{ν}$ its valuation ring, $K (α) / K$ a separable finite field extension generated over $K$ by a root of a monic irreducible polynomial…

On index divisors and monogenity of certain number fields defined by x12+axm+b

On monogenity of certain pure number fields defined by xpr−m

A Dedekind's Criterion over Valued Fields

On index divisors and monogenity of certain number fields defined by $x^{12} + a x^{m} + b$

On monogenity of certain pure number fields defined by $x^{p^{r}} - m$