40 citations · 282 across the 43 of their papers we have counts for
5 papers · 1 filter
On product-one sequences over dihedral groups
Alfred Geroldinger, David J. Grynkiewicz, Jun Seok Oh +1
Let be a finite group. A sequence over means a finite sequence of terms from , where repetition is allowed and the order is disregarded. A product-one sequence is a sequ…
On strongly primary monoids, with a focus on Puiseux monoids
Alfred Geroldinger, Felix Gotti, Salvatore Tringali
Primary and strongly primary monoids and domains play a central role in the ideal and factorization theory of commutative monoids and domains. It is well-known that primary monoids…
Factorization Theory in Commutative Monoids
Alfred Geroldinger, Qinghai Zhong
This is a survey on factorization theory. We discuss finitely generated monoids (including affine monoids), primary monoids (including numerical monoids), power sets with set addit…
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…
A characterization of Krull monoids for which sets of lengths are (almost) arithmetical progressions
Alfred Geroldinger, Wolfgang Schmid
Let H be a Krull monoid with finite class group G and suppose that every class contains a prime divisor. Then sets of lengths in H have a well-defined structure which just depends…