Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/17768
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| Title: | SETS OF POSITIVE INTEGERS CLOSED UNDER PRODUCT AND THE NUMBER OF DECIMAL DIGITS |
| Authors: | Rosales, J.C.
Branco, M.B.
Torrão, D. |
| Keywords: | Digital semigroup, Monoid, Numerical semigroup, Frobenius number, tree. |
| Issue Date: | Feb-2015 |
| Publisher: | Elsiver |
| Citation: | Journal of Number Theory, Volume 147, February 2015, Pages 1-13. URL: doi:10.1016/j.jnt.2014.06.014 |
| Abstract: | A digital semigroup D is a subsemigroup of (N,+ ) such that if d 2 D then fx 2 Nnf0g j ℓ(x) = ℓ(d)g 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 |
| URI: | http://www.sciencedirect.com/science/article/pii/S0022314X14002200
http://hdl.handle.net/10174/17768 |
| ISSN: | 0022-314X |
| Type: | article |
| Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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