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Authors: Rosales, J.C.
Branco, M.B.
Torrão, D.
Keywords: numerical semigroup, Frobenius number, Pseudo-Frobenius number, genus, embedding dimension, type
Issue Date: 12-Jul-2015
Publisher: Springer
Citation: The Ramanujan Journal, pp 1-12.
Abstract: A repunit is a number consisting of copies of the single digit 1. The set of repunits in base b is { bn􀀀1 b􀀀1 j n 2 Nnf0g } . A numerical semigroup S is a repunit numerical semigroup if there exist integers b 2 Nn f0; 1g and n 2 Nn f0g such that S = ⟨{ bn+i􀀀1 b􀀀1 j i 2 N }⟩ . In this work, we give formulas for the embedding dimension, the Frobenius number, the type and the genus for a repunit numerical semigroup.
ISSN: ISSN: 1382-4090
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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