19 citations · 71 across the 23 of their papers we have counts for
4 papers · 1 filter
On the Krull dimension of rings of integer-valued rational functions
Mohamed Mahmoud Chems-Eddin, Badr Feryouch, Hakima Mouanis +1
Let be an integral domain with quotient field and a subset of . The \textit{ring of integer-valued rational functions on} is defined as $$\mathrm{int}_R(E,D):=\l…
On rings of integer-valued rational functions
Mohamed Mahmoud Chems-Eddin, Badr Feryouch, Hakima Mouanis +1
Let be an extension of integral domains and a subset of the quotient field of . We introduce the ring of \textit{-valued -rational functions on }, de…
On the maximal unramified pro-2-extension of -extension of certain real biquadratic fields
Mohamed Mahmoud Chems-Eddin
For any positive integer , we show that there exists a real number field (resp. ) of degree whose -class group is isomorphic to $\mathbb{Z}/2\mathbb{Z}\time…
On the unit group and the -class number of
Mohamed Mahmoud Chems-Eddin, Moha Ben Taleb El Hamam, Moulay Ahmed Hajjami
Let and 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…