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math.AC2019
Radical factorization in finitary ideal systems
Bruce Olberding, Andreas Reinhart
In this paper we investigate the concept of radical factorization with respect to finitary ideal systems of cancellative monoids. We present new characterizations for r-almost Dede…
math.AC2019
On monoids of ideals of orders in quadratic number fields
Johannes Brantner, Alfred Geroldinger, Andreas Reinhart
We determine the set of catenary degrees, the set of distances, and the unions of sets of lengths of the monoid of nonzero ideals and of the monoid of invertible ideals of orders i…