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A realization theorem for sets of lengths in numerical monoids.

Authors :
Geroldinger, Alfred
Schmid, Wolfgang Alexander
Source :
Geologica Carpathica. Dec2017, Vol. 68 Issue 6, p1-8. 8p.
Publication Year :
2017

Abstract

We show that for every finite nonempty subset of ℕ≥2 there are a numerical monoid H and a squarefree element a ∈ H whose set of lengths L(a) is equal to L. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13350552
Volume :
68
Issue :
6
Database :
Academic Search Index
Journal :
Geologica Carpathica
Publication Type :
Academic Journal
Accession number :
127952344
Full Text :
https://doi.org/10.1515/forum-2017-0180