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math.AC2020
A realization result for systems of sets of lengths
Alfred Geroldinger, Qinghai Zhong
Let be a family of finite subsets of having the following properties. (a). and all other sets of lie in…
math.AC2020
On the arithmetic of stable domains
Aqsa Bashir, Alfred Geroldinger, Andreas Reinhart
A commutative ring is stable if every non-zero ideal of is projective over its ring of endomorphisms. Motivated by a paper of Bass in the 1960s, stable rings have recei…
math.AC2020
On the incomparability of systems of sets of lengths
Alfred Geroldinger, Wolfgang Schmid
Let be a Krull monoid with finite class group such that every class contains a prime divisor. We consider the system of all sets of lengths of and stud…