Výsledky vyhledávání - "Mohamed Mahmoud A."

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On rings of integer-valued rational functions

Autor: Chems-Eddin, Mohamed Mahmoud, Feryouch, Badr, Mouanis, Hakima, Tamoussit, Ali

Let $D\subseteq B$ be an extension of integral domains and $E$ a subset of the quotient field of $D$. We introduce the ring of \textit{$D$-valued $B$-rational functions on $E$}, denoted by $Int^R_B(E,D)$, which naturally extends the concepts of integ

Externí odkaz: http://arxiv.org/abs/2410.16142

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On the maximal unramified pro-2-extension of $\mathbb{Z}_2$-extension of certain real biquadratic fields

Autor: Chems-Eddin, Mohamed Mahmoud

For any positive integer $n$, we show that there exists a real number field $k$ (resp. $k'$) of degree $2^n$ whose $2$-class group is isomorphic $\mathbb{Z}/2\mathbb{Z}\times \mathbb{Z}/2\mathbb{Z}$ such that the Galois group of the maximal unramifie

Externí odkaz: http://arxiv.org/abs/2409.13574

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On the unit group and the $2$-class number of $\mathbb{Q}(\sqrt{2},\sqrt{p},\sqrt{q})$

Autor: Chems-Eddin, Mohamed Mahmoud, Hamam, Moha Ben Taleb El, Hajjami, Moulay Ahmed

Let $p\equiv 1\pmod{8}$ and $q\equiv7\pmod 8$ be two prime numbers. The purpose of this paper is to compute the unit group of the fields $\KK=\QQ(\sqrt 2, \sqrt{p}, \sqrt{q} )$ and give their $2$-class numbers.
Comment: Revised version, 33 pages

Externí odkaz: http://arxiv.org/abs/2403.17972

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