B. Feryouch

collaborators

3 papers

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.AC2024

On the Krull dimension of rings of integer-valued rational functions

Mohamed Mahmoud Chems-Eddin, Badr Feryouch, Hakima Mouanis +1

Let $D$ be an integral domain with quotient field $K$ and $E$ a subset of $K$ . The \textit{ring of integer-valued rational functions on} $E$ is defined as $$\mathrm{int}_R(E,D):=\l…

math.AC2024

On rings of integer-valued rational functions

Mohamed Mahmoud Chems-Eddin, Badr Feryouch, Hakima Mouanis +1

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 $E$ }, de…