Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups
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Publication:5080230
DOI10.1080/00927872.2022.2034837OpenAlexW3193751636MaRDI QIDQ5080230
Gabe Udell, Stephan Ramon Garcia, Christopher O'Neill
Publication date: 31 May 2022
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.06063
Commutative semigroups (20M14) Units and factorization (11R27) Arithmetic theory of semigroups (20M13) Combinatorial aspects of commutative algebra (05E40)
Cites Work
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- Factorization theory: from commutative to noncommutative settings.
- Numerical semigroups.
- On the asymptotic behaviour of lengths of factorizations
- A realization theorem for sets of lengths in numerical monoids
- The maximal denumerant of a numerical semigroup.
- On factorization invariants and Hilbert functions
- Factorization length distribution for affine semigroups. II: Asymptotic behavior for numerical semigroups with arbitrarily many generators
- On the set of elasticities in numerical monoids
- Factorization length distribution for affine semigroups. I: Numerical semigroups with three generators
- Integer-Valued Polynomials
- Factorization invariants in numerical monoids
- Factorizations of Algebraic Integers, Block Monoids, and Additive Number Theory
- Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
- On the arithmetic of arithmetical congruence monoids
- Finite abelian groups and factorization problems
- A structure theorem for sets of lengths
- Sets of Lengths
- AFFINE SEMIGROUPS HAVING A UNIQUE BETTI ELEMENT
- Factorization Theory and Decompositions of Modules
- FACTORIZATION LENGTH DISTRIBUTION FOR AFFINE SEMIGROUPS III: MODULAR EQUIDISTRIBUTION FOR NUMERICAL SEMIGROUPS WITH ARBITRARILY MANY GENERATORS
- On parametrized families of numerical semigroups
- Local Rings of High Embedding Dimension
- On delta sets and their realizable subsets in Krull monoids with cyclic class groups
- Systems of sets of lengths. II