Numerical Semigroups and Applications

By A. Assi, Pedro A. García-Sánchez. RSME Springer Series, 2014

103 citations recorded by the source corpus.

The aim of this manuscript is to give some basic notions related to numerical semigroups, and from these on the one hand describe a classical application to the study of singularities of plane algebraic curves, and on the other, show how numerical semigroups can be used to obtain handy examples of nonunique factorization invariants.

Subfields: Algebra and Number Theory, Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/38796afb48a2838ac4c4d4b605e32dd4d0e2288b

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In Algebra and Number Theory

1. Felix Gotti
2. Scott T. Chapman
3. Marly Gotti
4. Alfred Geroldinger

In Computational Theory and Mathematics

1. Felix Gotti
2. Scott T. Chapman
3. Marly Gotti

Citations in the corpus

• Factorization invariants of Puiseux monoids generated by geometric sequences (2019, background): “For an introduction to numerical monoids, see [18] and for some of their many applications see [3].”