Increasingly Enumerable Submonoids of R : Music Theory as a Unifying Theme
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Publication:5207475
DOI10.1080/00029890.2020.1674073zbMath1427.00030arXiv1904.02897OpenAlexW2996262931WikidataQ126533337 ScholiaQ126533337MaRDI QIDQ5207475
Publication date: 2 January 2020
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.02897
Related Items (7)
Unnamed Item ⋮ Factorization in additive monoids of evaluation polynomial semirings ⋮ Bi-atomic classes of positive semirings ⋮ Tempered monoids of real numbers, the golden fractal monoid, and the well-tempered harmonic semigroup ⋮ Atomicity and density of Puiseux monoids ⋮ When Is a Puiseux Monoid Atomic? ⋮ On semigroup algebras with rational exponents
Cites Work
- Atomicity and boundedness of monotone Puiseux monoids
- Factorization in integral domains
- Increasing positive monoids of ordered fields are FF-monoids
- Fibonacci-like growth of numerical semigroups of a given genus.
- Tempered monoids of real numbers, the golden fractal monoid, and the well-tempered harmonic semigroup
- Fibonacci-like behavior of the number of numerical semigroups of a given genus.
- The Mathematics of Musical Instruments
- Musical Actions of Dihedral Groups
- Totally ordered commutative semigroups
- Musical intervals and special linear transformations
- Counting Numerical Semigroups
- On the atomic structure of Puiseux monoids
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