Roswitha Rissner

collaborators

4 papers

math.AC2025

Minimal generating sets of large powers of bivariate monomial ideals

Jutta Rath, Roswitha Rissner

It is known that for a monomial ideal $I$ , the number of minimal generators, $I^¼ (I^{n})$ , eventually follows a polynomial pattern for increasing $n$ . In general, little is known abou…

math.AC2025

Irreducible integer-valued polynomials with prescribed minimal power that factors non-uniquely

Sarah Nakato, Roswitha Rissner

We study the question up to which power an irreducible integer-valued polynomial that is not absolutely irreducible can factor uniquely. For example, for integer-valued polynomials…

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)…

math.AC2024

Stabilization of associated prime ideals of monomial ideals -- Bounding the copersistence index

Clemens Heuberger, Jutta Rath, Roswitha Rissner

The sequence $(Ass (R / I^{n}))_{n \in N}$ of associated primes of powers of a monomial ideal $I$ in a polynomial ring $R$ eventually stabilizes by a known result…