40 citations · 282 across the 43 of their papers we have counts for
4 papers · 1 filter
A characterization of seminormal C-monoids
Alfred Geroldinger, Qinghai Zhong
It is well-known that a C-monoid is completely integrally closed if and only if its reduced class semigroup is a group and if this holds, then the C-monoid is a Krull monoid and th…
On strongly primary monoids and domains
Alfred Geroldinger, Moshe Roitman
A commutative integral domain is primary if and only if it is one-dimensional and local. A domain is strongly primary if and only if it is local and each nonzero principal ideal co…
Sets of Arithmetical Invariants in Transfer Krull Monoids
Alfred Geroldinger, Qinghai Zhong
Transfer Krull monoids are a recent concept including all commutative Krull domains and also, for example, wide classes of non-commutative Dedekind domains. We show that transfer K…
Which sets are sets of lengths in all numerical monoids ?
Alfred Geroldinger, Wolfgang Schmid
We explicitly determine those sets of nonnegative integers which occur as sets of lengths in all numerical monoids.