5 citations · 7 across the 10 of their papers we have counts for
4 papers · 1 filter
On the arithmetic of Mori monoids and domains
Qinghai Zhong
Let be a Mori domain with complete integral closure , nonzero conductor , and suppose that both -class groups $\mathcal C_v (R…
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 elasticities of locally finitely generated monoids
Qinghai Zhong
Let be a commutative and cancellative monoid. The elasticity of a non-unit is the supremum of over all for which there are factorizations of the f…
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…