Remarks on factorizations in algebraic number fields

DOI10.4064/cm-46-1-123-130zbMath0514.12005OpenAlexW2168466669WikidataQ114022026 ScholiaQ114022026MaRDI QIDQ3659868

Jan Sliwa

Publication date: 1982

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-46-1-123-130

zbMATH Keywords

ring of integerslength of factorizationcombinatorial invariants of finite Abelian groups

Mathematics Subject Classification ID

Units and factorization (11R27) Finite abelian groups (20K01) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Iwasawa theory (11R23)

Related Items (14)

Analytic and arithmetic theory of semigroups with divisor theory ⋮ On non-unique factorizations into irreducible elements ⋮ Ein quantitatives Resultat über Faktorisierungen verschiedener Länge in algebraischen Zahlkörpern. (A quantitative result on factorizations of different length in algebraic number fields) ⋮ Systems of sets of lengths. ⋮ Differences in sets of lengths of Krull monoids with finite class group. ⋮ Erdős-Zaks all divisor sets. ⋮ On large half-factorial sets in elementary \(p\)-groups: maximal cardinality and structural char\-ac\-ter\-i\-zation. ⋮ Systems of sets of lengths. II ⋮ On congruence half-factorial Krull monoids with cyclic class group ⋮ EZADS inputs which produce half-factorial block monoids. ⋮ Factorization in Dedekind domains with finite class group ⋮ Independence of Hecke zeta functions of finite order over normal fields ⋮ On the maximal cardinality of half-factorial sets in cyclic groups ⋮ Structural results for semigroup subsets defined by factorization properties dependent on \(\Omega\) functions.

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