Some Recent Results and Open Problems on Sets of Lengths of Krull Monoids with Finite Class Group
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Publication:2826750
DOI10.1007/978-3-319-38855-7_14zbMath1394.20036arXiv1511.08080OpenAlexW2177178416MaRDI QIDQ2826750
Publication date: 18 October 2016
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.08080
Other combinatorial number theory (11B75) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05) Arithmetic theory of semigroups (20M13) Arithmetic combinatorics; higher degree uniformity (11B30)
Related Items (19)
On a Zero-Sum Problem Arising From Factorization Theory ⋮ Lattices over Bass rings and graph agglomerations ⋮ On product-one sequences over dihedral groups ⋮ Sets of Lengths ⋮ Monoids of sequences over finite abelian groups defined via zero-sums with respect to a given set of weights and applications to factorizations of norms of algebraic integers ⋮ On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms ⋮ ON THE ARITHMETIC OF MORI MONOIDS AND DOMAINS ⋮ On the incomparability of systems of sets of lengths ⋮ On Dedekind domains whose class groups are direct sums of cyclic groups ⋮ On the algebraic and arithmetic structure of the monoid of product-one sequences ⋮ On Monoids of Ideals of Orders in Quadratic Number Fields ⋮ A characterization of seminormal C-monoids ⋮ Structural properties of subadditive families with applications to factorization theory ⋮ Long sets of lengths with maximal elasticity ⋮ Puiseux monoids and transfer homomorphisms ⋮ Factorization theory in commutative monoids ⋮ Unnamed Item ⋮ On transfer homomorphisms of Krull monoids ⋮ On the class semigroup of root-closed weakly Krull Mori monoids
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