Abstract
Sets of lengths in Krull monoids and in noetherian domains are finite and nonempty. Furthermore, either all sets of lengths are singletons or sets of lengths may become arbitrarily large (see Lemma 1.0.1).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2009 Birkhäuser Verlag
About this chapter
Cite this chapter
(2009). The structure of sets of lengths. In: Combinatorial Number Theory and Additive Group Theory. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8962-8_5
Download citation
DOI: https://doi.org/10.1007/978-3-7643-8962-8_5
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8961-1
Online ISBN: 978-3-7643-8962-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)