AN ARITHMETICAL CHARACTERIZATION OF FINITE ELEMENTARY 2-GROUPS

DOI10.1081/AGB-100001680zbMath0995.13005OpenAlexW1992078277MaRDI QIDQ2752360

William W. Smith, Scott Thomas Chapman

Publication date: 21 October 2002

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-100001680

zbMATH Keywords

Dedekind domains with finite elementary 2-group class groupdistinct factorizations of powersKrull domains with finite divisor class group

Mathematics Subject Classification ID

Algebraic numbers; rings of algebraic integers (11R04) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Class groups (13C20) Divisibility and factorizations in commutative rings (13A05)

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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., On the number of factorizations of an element in an atomic monoid.

Cites Work

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• On the hfd, chfd, and k-hfd properties in dedekind domains