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The tree of irreducible numerical semigroups with fixed Frobenius number
-
Victor Blanco
and
José Carlos Rosales
Published/Copyright:
September 21, 2011
Abstract.
In this paper we present a procedure to build the set of irreducible numerical semigroups with a fixed Frobenius number. The construction gives us a rooted tree structure for this set. Furthermore, by using the notion of Kunz-coordinates vector we translate the problem of finding such a tree into the problem of manipulating 
vectors with as many component as the Frobenius number.
Received: 2011-06-06
Revised: 2011-08-30
Published Online: 2011-09-21
Published in Print: 2013-11-01
© 2013 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Masthead
- Continuity of homomorphisms into power-associative complete normed algebras
- The connection problem associated with a Selberg type integral and the q-Racah polynomials
- The space of linear maps into a Grassmann manifold
- The integral cohomology of configuration spaces of pairs of points in real projective spaces
- The tree of irreducible numerical semigroups with fixed Frobenius number
- The topological decomposition of inverse limits of iterated wreath products of finite Abelian groups
- Comparison principles and Dirichlet problem for fully nonlinear degenerate equations of Monge–Ampère type
