A. Tamoussit

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20242026

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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…