Arithmetic of non-principal orders in algebraic number fields

DOI10.5802/acirm.42zbMath1474.11189OpenAlexW2334300357MaRDI QIDQ4682440

Andreas Philipp

Publication date: 18 September 2018

Published in: Actes des rencontres du CIRM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/acirm.42

zbMATH Keywords

algebraic number fieldsnon-unique factorizationshalf-factorialitynon-principal orders

Mathematics Subject Classification ID

Units and factorization (11R27) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05) Arithmetic theory of semigroups (20M13)

Cites Work

• A characterization of arithmetical invariants by the monoid of relations.
• Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse)
• Power series extensions of half-factorial domains
• On the integral closure of a half-factorial domain
• The catenary and tame degree in finitely generated commutative cancellative monoids.
• Arithmetic of Mori Domains and Monoids: The Global Case
• The catenary and tame degree of numerical monoids
• Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids
• A Characterization of Algebraic Number Fields with Class Number Two
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