SETS OF POSITIVE INTEGERS CLOSED UNDER PRODUCT AND THE NUMBER OF DECIMAL DIGITS

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dc.contributor.authorRosales, J.C.
dc.contributor.authorBranco, M.B.
dc.contributor.authorTorrão, D.
dc.date.accessioned2016-03-07T18:19:39Z
dc.date.available2016-03-07T18:19:39Z
dc.date.issued2015-02
dc.description.abstractA 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-semigroupspor
dc.identifier.authoremailnd
dc.identifier.authoremailnd
dc.identifier.authoremailnd
dc.identifier.citationJournal of Number Theory, Volume 147, February 2015, Pages 1-13. URL: doi:10.1016/j.jnt.2014.06.014por
dc.identifier.doi10.1016/j.jnt.2014.06.014por
dc.identifier.issn0022-314X
dc.identifier.revistaJournal of Number Theory
dc.identifier.scientificarea333por
dc.identifier.urihttp://www.sciencedirect.com/science/article/pii/S0022314X14002200
dc.identifier.urihttp://hdl.handle.net/10174/17768
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherElsiverpor
dc.rightsrestrictedAccesspor
dc.subjectDigital semigroup, Monoid, Numerical semigroup, Frobenius number, tree.por
dc.titleSETS OF POSITIVE INTEGERS CLOSED UNDER PRODUCT AND THE NUMBER OF DECIMAL DIGITSpor
dc.typearticlepor

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