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math.AC2021
On the arithmetic of monoids of ideals
Alfred Geroldinger, M. Azeem Khadam
We study the algebraic and arithmetic structure of monoids of invertible ideals (more precisely, of -invertible -ideals for certain ideal systems ) of Krull and weakly Kru…
math.AC2021
On transfer homomorphisms of Krull monoids
Alfred Geroldinger, Florian Kainrath
Every Krull monoid has a transfer homomorphism onto a monoid of zero-sum sequences over a subset of its class group. This transfer homomorphism is a crucial tool for studying the a…
math.AC2021★ 8 cited
A characterization of length-factorial Krull monoids
Alfred Geroldinger, Qinghai Zhong
An atomic monoid is length-factorial if each two distinct factorizations of any element have distinct factorization lengths. We provide a characterization of length-factorial Krull…