A. Deajim

activity

20182022

most citedOn the number of orbits arising from the action of $\mbox{PSL}(2,\mathbb{Z})$ on imaginary quadratic number fields

1 citations · 1 across the 4 of their papers we have counts for

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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…

math.NT2018

On the Integral Closedness of $R [α]$

A. Deajim, L. El Fadil

Let $R$ be a Dedekind ring, $K$ its quotient field, and $L = K (α)$ a finite field extension of $K$ defined by a monic irreducible polynomial $f (x) \in R [x]$ . We give an easy version o…

math.NT2018

Polynomial Index in Dedekind Rings

M. E. Charkani, A. Deajim

Let $R$ be a Dedekind ring, $p$ a nonzero prime ideal of $R$ , $P \in R [X]$ a monic irreducible polynomial, and $K$ the quotient field of $R$ . We give in this paper a lowe…

math.NT2018

On the Extensions of a Discrete Valuation in a Number Field

Abdulaziz Deajim, Lhoussain El Fadil

Let $K$ be a number field defined by a monic irreducible polynomial $F (X) \in Z [X]$ , $p$ a fixed rational prime, and $ν_{p}$ the discrete valuation associated to $p$ . Assume…

A Dedekind's Criterion over Valued Fields

On the Integral Closedness of R[α]

Polynomial Index in Dedekind Rings

On the Extensions of a Discrete Valuation in a Number Field

On the Integral Closedness of $R [α]$