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

DOI10.1080/00927872.2022.2058009zbMath1497.20062OpenAlexW4223903263MaRDI QIDQ5089955

Kamil Merito, Safia Boukheche, Oscar Ordaz, Wolfgang Alexander Schmid

Publication date: 15 July 2022

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2022.2058009

zbMATH Keywords

algebraic integerfinite abelian groupweighted subsumzero-sum problem

Mathematics Subject Classification ID

Commutative semigroups (20M14) Other combinatorial number theory (11B75) Finite abelian groups (20K01) Algebraic numbers; rings of algebraic integers (11R04) Arithmetic theory of semigroups (20M13) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (2)

On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms ⋮ On monoids of plus-minus weighted zero-sum sequences: the isomorphism problem and the characterization problem

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