An arithmetic characterization of algebraic number fields with a given class group
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Publication:3672085
DOI10.1017/S0305004100060886zbMath0522.12005MaRDI QIDQ3672085
Publication date: 1983
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
class numberfactorization of algebraic integersarithmetic characterization of algebraic number fieldscompletely irreducible number
Units and factorization (11R27) Iwasawa theory (11R23) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
Related Items (12)
Systems of sets of lengths. ⋮ On a characterization of algebraic number fields with class number less than three ⋮ On the hfd, chfd, and k-hfd properties in dedekind domains ⋮ A characterization of class groups via sets of lengths ⋮ Half-factorial subrings of factorial domains ⋮ Arithmetical characterizations of divisor class groups ⋮ A graph-theoretic criterion for absolute irreducibility of integer-valued polynomials with square-free denominator ⋮ On the local k-elasticities of Puiseux monoids ⋮ AN ARITHMETICAL CHARACTERIZATION OF FINITE ELEMENTARY 2-GROUPS ⋮ Factorization problems in semigroups ⋮ Factorization in Dedekind domains with finite class group ⋮ Arithmetical characterization of class groups of the form \(\mathbb Z/n\mathbb Z\oplus\mathbb Z/n\mathbb Z\) via the system of sets of lengths.
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