A. Tamoussit

activity

20242026

collaborators

5 papers

math.AC2026

Local properties of integral domains under extensions and pullback constructions

Hyungtae Baek, Jung Wook Lim, Omar Ouzzaouit. +1

For a property $X$ of integral domains, an integral domain $D$ is said to be a {\it locally $X$ -domain} if $D_{P}$ has the property $X$ for every prime…

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…

math.AC2024

On the transfer of certain ring-theoretic properties in Anderson rings

Hyungtae Baek, Jung Wook Lim, Ali Tamoussit

Let $R$ be a commutative ring with unity and let $X$ be an indeterminate over $R$ . The \textit{Anderson ring} of $R$ is defined as the quotient ring of the polynomial ring $R [X]$ b…