On numerical semigroups closed with respect to the action of affine maps

Abstract

In this paper we study numerical semigroups containing a given positive integer and closed with respect to the action of an affine map. For such semigroups we find a minimal set of generators, their embedding dimension, their genus and their Frobenius number.

arXiv comment15 pages. The exposition has been improved. The theorem on the Frobenius number of the semigroups has been improved. A membership criterion to the numerical semigroups has been added

Cited by in corpus (1)

• On the Frobenius Number and Genus of a Collection of Semigroups Generalizing Repunit Numerical Semigroups