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

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4 papers · 1 filter

math.NT2022★ 2 cited

On index divisors and monogenity of certain sextic number fields defined by $x^{6} + a x^{5} + b$

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 $K$ generated by a complex root $α$ of a monic ir…

math.NT2022★ 1 cited

On the monogenity of quartic number fields defined by $x^{4} + a x^{2} + b$

Lhoussain El Fadil, István Gaál

For any quartic number field $K$ generated by a root $α$ of an irreducible trinomial of type $x^{4} + a x^{2} + b \in Z [x]$ , we characterize when $Z [α]$ is integrally closed. Also for $p=2,3…

math.NT2022

On index divisors and monogenity of certain number fields defined by trinomials $x^{7} + a x + b$

Lhoussain El Fadil

For a number field $K$ defined by a trinomail $F (x) = x^{7} + a x + b \in Z [x]$ , Jakhar and Kumar gave some necessary conditions on $a$ and $b$ , which guarantee the non-monogenit…

math.NT2022★ 1 cited

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 $K$ , generated by a root $α$ of a monic irreducible polynomial $f (x) = x^{8} - m \in Z [x]$ , it was assu…

On index divisors and monogenity of certain sextic number fields defined by x6+ax5+b

On the monogenity of quartic number fields defined by x4+ax2+b

On index divisors and monogenity of certain number fields defined by trinomials x7+ax+b

On integral bases and monogenity of pure octic number fields with non-square free parameters

On index divisors and monogenity of certain sextic number fields defined by $x^{6} + a x^{5} + b$

On the monogenity of quartic number fields defined by $x^{4} + a x^{2} + b$

On index divisors and monogenity of certain number fields defined by trinomials $x^{7} + a x + b$