Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415422 | Journal of Number Theory | 2015 | 13 Pages |
Abstract
A digital semigroup D is a subsemigroup of (N\{0},â ) such that if dâD then {xâN\{0}|â(x)=â(d)}âD with â(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
Authors
J.C. Rosales, M.B. Branco, D. Torrão,