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arXiv:1504.06232 [math.NT]AbstractReferencesReviewsResources

Multiplicative subsemigroups of the positive integers closed with respect to the number of digits

Simone Ugolini

Published 2015-04-23Version 1

In this paper we present an alternative approach to a problem dealt with by Rosales et al. In particular, once a base $b$ for the representation of the integers is fixed, we describe a procedure for constructing the smallest multiplicative subsemigroup of the positive integers closed with respect to the number of digits which contains a set of positive integers.

Comments: 6 pages; preliminary version
Categories: math.NT, math.GR
Subjects: 11A05, 11A63, 20M14
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