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math.AC2025
Minimal generating sets of large powers of bivariate monomial ideals
Jutta Rath, Roswitha Rissner
It is known that for a monomial ideal , the number of minimal generators, , eventually follows a polynomial pattern for increasing . 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.AC2024
Stabilization of associated prime ideals of monomial ideals -- Bounding the copersistence index
Clemens Heuberger, Jutta Rath, Roswitha Rissner
The sequence of associated primes of powers of a monomial ideal in a polynomial ring eventually stabilizes by a known result…