On the incomparability of systems of sets of lengths
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Publication:6116409
DOI10.1016/j.ejc.2023.103694zbMath1526.20081arXiv2005.03316MaRDI QIDQ6116409
Wolfgang Alexander Schmid, Alfred Geroldinger
Publication date: 18 July 2023
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.03316
Commutative semigroups (20M14) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Class groups (13C20) Computational number theory (11Y99) Divisibility and factorizations in commutative rings (13A05) Arithmetic theory of semigroups (20M13)
Cites Work
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- The catenary degree of Krull monoids. I
- Combinatorial number theory and additive group theory. With a foreword by Javier Cilleruelo, Marc Noy and Oriol Serra (Coordinators of the DocCourse)
- Arithmetical characterization of class groups of the form \(\mathbb Z/n\mathbb Z\oplus\mathbb Z/n\mathbb Z\) via the system of sets of lengths.
- On the order of elements in long minimal zero-sum sequences
- Power monoids: a bridge between factorization theory and arithmetic combinatorics
- Systems of sets of lengths of Puiseux monoids
- Sets of minimal distances and characterizations of class groups of Krull monoids
- A characterization of Krull monoids for which sets of lengths are (almost) arithmetical progressions
- Structural properties of subadditive families with applications to factorization theory
- Factorization theory in commutative monoids
- On the lower bounds of Davenport constant
- A characterization of class groups via sets of lengths. II.
- Sets of lengths of factorizations of integer-valued polynomials on Dedekind domains with finite residue fields
- Sets of lengths in maximal orders in central simple algebras.
- Products of two atoms in Krull monoids and arithmetical characterizations of class groups.
- The set of minimal distances in Krull monoids
- Some Recent Results and Open Problems on Sets of Lengths of Krull Monoids with Finite Class Group
- An asymptotically tight bound for the Davenport constant
- Sets of Lengths
- A characterization of finite abelian groups via sets of lengths in transfer Krull monoids
- Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids
- A characterization of class groups via sets of lengths
- THE CATENARY DEGREE OF KRULL MONOIDS II
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