Semi-covariety of numerical semigroups
Abstract
The main aim of this work is to introduce and justify the study of semi-covarieties. A semi-covariety is a non-empty family F of numerical semigroups such that it is closed under finite intersections, has a minimum, min(F), and if S∈F being S≠min(F), then there is x∈S such that S∖{x}∈F. As examples, we will study the semi-covariety formed by all the numerical semigroups containing a fixed numerical semigroup, as well as the semi-covariety composed by all the numerical semigroups of coated odd elements and fixed Frobenius number.
Fields of Study & Subjects
Graph theory and applications
Functional Equations Stability Results
Publication details
- Journal / source
- Communications in Algebra
- Publisher
- Informa UK Limited
- Pages
- 1–13
- Publication date
- 22 July 2026
- Language
- EN