A Note on Fraction Decompositions of Integers

DOI10.1080/00029890.2020.1815481zbMath1497.11087OpenAlexW3110814654MaRDI QIDQ5140829

Bowen Yao

Publication date: 17 December 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2020.1815481

zbMATH Keywords

Puiseux monoidfaithful decompositionfraction decomposition

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Rational numbers as sums of fractions (11D68) Arithmetic theory of semigroups (20M13)

Uses Software

• OEIS

Cites Work

• Systems of sets of lengths of Puiseux monoids
• A realization theorem for sets of lengths in numerical monoids
• Factorization theory in commutative monoids
• On the atomicity of monoid algebras
• Factorization invariants of Puiseux monoids generated by geometric sequences
• On the atomic structure of Puiseux monoids
• On representations by Egyptian fractions

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