A realization theorem for sets of lengths
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Publication:1017382
DOI10.1016/j.jnt.2008.10.019zbMath1191.11031OpenAlexW2062486464MaRDI QIDQ1017382
Publication date: 19 May 2009
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2008.10.019
Commutative semigroups (20M14) Units and factorization (11R27) Semigroup rings, multiplicative semigroups of rings (20M25) Arithmetic progressions (11B25)
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Cites Work
- Factorization in integral domains
- Zero-sum problems in finite Abelian groups: a survey
- Non-unique factorizations of algebraic integers
- Elasticity of factorizations in integral domains
- An addition theorem and its arithmetical application
- Cancellative commutative semigroups
- Elasticity of factorization in number fields
- ON DELTA SETS OF NUMERICAL MONOIDS
- Finite abelian groups and factorization problems
- Factorization in Krull monoids with infinite class group
- A Characterization of Algebraic Number Fields with Class Number Two
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