The quotient of a numerical semigroup by a positive integer

Part of the Developments in Mathematics book series (DEVM, volume 20)


A generalization of the linear Diophantine Frobenius problem can be stated as follows. Let n 1 ,…,n p and d be positive integers with {n 1 ,…,n p }=1. Find a formula for the largest multiple of d not belonging to 〈n 1 ,…,n p 〉.


Positive Integer Numerical Semigroup Prime Integer Positive Rational Number Coprime Integer 
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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of Algebra, Faculty of SciencesUniversity of Granada, Campus University FuentenuevaGranadaSpain

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