M. M. Chems-Eddin

activity

20192026

2

-class field towers of some multiquadratic number fields

19 citations · 71 across the 23 of their papers we have counts for

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4 papers · 1 filter

math.AC2025

Note on the Krull dimension of rings of integer-valued polynomials

M. M. Chems-Eddin, B. Feryouch, A. Tamoussit

Let $D$ be an integral domain with quotient field $K,$ $E$ a subset of $K$ and $X$ an indeterminate over $K$ . The set $Int (E, D) := {f \in K [X]; f (E) \subseteq D}$ , of inte…

math.NT2025

On the Existence of the Maximal Unramified Pro- $2$ -Extension over the Cyclotomic $Z_{2}$ -Extension with Prescribed Metacyclic Galois Group

Mohamed Mahmoud Chems-Eddin, Hamza El Mamry

For an integer $m \geq 2$ , we aim to investigate the realizability of types of metacyclic-nonmodular groups, whose abelianization is $\mathbb{Z}/2 \mathbb{Z}\times\mathbb{Z}/2^m \ma…

math.NT2025★ 1 cited

Greenberg's conjecture and Iwasawa module of Real biquadratic fields I

Mohamed Mahmoud Chems-Eddin

The main aim of this paper is to investigate Greenberg's conjecture for real biquadratic fields. More precisely, we propose the following problem: What are real biquadratic number…

math.NT2025★ 2 cited

On the unit group of some multiquadratic fields