On the arithmetic of power monoids and sumsets in cyclic groups

DOI10.2140/pjm.2021.312.279zbMath1502.11020arXiv1804.10913OpenAlexW2798976989MaRDI QIDQ1979485

Salvatore Tringali, Austin A. Antoniou

Publication date: 3 September 2021

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.10913

zbMATH Keywords

sumsetsproduct setsirreduciblesminimal factorizationsdecompositions into atomspower monoidsBF-monoidsnonunique factorization

Mathematics Subject Classification ID

Additive bases, including sumsets (11B13) Inverse problems of additive number theory, including sumsets (11P70) Arithmetic theory of semigroups (20M13) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (4)

An abstract factorization theorem and some applications ⋮ Power monoids: a bridge between factorization theory and arithmetic combinatorics ⋮ Factorization under local finiteness conditions ⋮ Factorization theory in commutative monoids

Cites Work

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