Article ID Journal Published Year Pages File Type
6415422 Journal of Number Theory 2015 13 Pages PDF
Abstract

A digital semigroup D is a subsemigroup of (N\{0},⋅) such that if d∈D then {x∈N\{0}|ℓ(x)=ℓ(d)}⊆D with ℓ(n) the number of digits of n written in decimal expansion. In this note, we compute the smallest digital semigroup containing a set of positive integers. For this, we establish a connection between the digital semigroups and a class of numerical semigroups called LD-semigroups.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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