scientific article

zbMath0994.20046MaRDI QIDQ2705812

Weidong Gao, Alfred Geroldinger

Publication date: 19 March 2001

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Abelian groupsfactorizationscommutative cancellative monoidsdivisor class groupsKrull monoidsproducts of irreducible elementsKrull domainsblock monoidssplittable setsfinite cyclic groupshalf-factorial generating subsets

Mathematics Subject Classification ID

Commutative semigroups (20M14) Generators, relations, and presentations of groups (20F05) Other combinatorial number theory (11B75) Finite abelian groups (20K01) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Abelian groups (20K99)

Related Items (8)

Differences in sets of lengths of Krull monoids with finite class group. ⋮ Unnamed Item ⋮ Two zero-sum problems and multiple properties ⋮ On large half-factorial sets in elementary \(p\)-groups: maximal cardinality and structural char\-ac\-ter\-i\-zation. ⋮ Systems of sets of lengths. II ⋮ Elasticities of Krull monoids with infinite cyclic class group ⋮ Independence of Hecke zeta functions of finite order over normal fields ⋮ On the maximal cardinality of half-factorial sets in cyclic groups

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