N. J. Werner

collaborators

4 papers

math.RA2026

A classification of Prufer domains of integer-valued polynomials on algebras

Giulio Peruginelli, Nicholas J. Werner

Let $D$ be an integrally closed domain with quotient field $K$ and $A$ a torsion-free $D$ -algebra that is finitely generated as a $D$ -module and such that $A \cap K = D$ . We give a co…

math.NT2025

Nontriviality of rings of integral-valued polynomials

Giulio Peruginelli, Nicholas J. Werner

Let $S$ be a subset of $Z$ , the ring of all algebraic integers. A polynomial $f \in Q [X]$ is said to be integral-valued on $S$ if $f(s) \in \overline{\ma…

math.RA2025

Integer-valued polynomials on subsets of quaternion algebras

Nicholas J. Werner

Let $R$ be either the ring of Lipschitz quaternions, or the ring of Hurwitz quaternions. Then, $R$ is a subring of the division ring $D$ of rational quaternions. For $S \s…

math.RA2025

Counting core sets in matrix rings over finite fields

Roswitha Rissner, Nicholas J. Werner

Let $R$ be a commutative ring and $M_{n} (R)$ be the ring of $n \times n$ matrices with entries from $R$ . For each $S \subseteq M_{n} (R)$ , we consider its (generalized) null ideal $N(S)…