439 citations
- University of GrazAT211 papers
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- Centre National de la Recherche ScientifiqueFR16 papers
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- Institute of High Energy PhysicsCN13 papers
- Justus-Liebig-Universität GießenDE13 papers
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- European Southern ObservatoryCL8 papers
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- Jožef Stefan InstituteSI7 papers
5 papers · 2 filters
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…
On the Algebraic and Arithmetic structure of the monoid of Product-one sequences II
Jun Seok Oh
Let be a finite group and its commutator subgroup. By a sequence over , we mean a finite unordered sequence of terms from , where repetition is allowed, and we say t…