Lattice paths with given number of turns and semimodules over numerical semigroups

Autor(en):	Moyano-Fernandez, Julio Jose Uliczka, Jan
Stichwörter:	Fundamental couple; Gamma-lean set; Gamma-semimodule; Lattice path; Mathematics; Numerical semigroup; RATIONAL CURVES; Syzygy
Erscheinungsdatum:	2014
Herausgeber:	SPRINGER
Journal:	SEMIGROUP FORUM
Volumen:	88
Ausgabe:	3
Startseite:	631
Seitenende:	646
Zusammenfassung:	Let Gamma = be a numerical semigroup. In this article we consider several relations between the so-called Gamma-semimodules and lattice paths from (0, alpha) to (beta, 0): we investigate isomorphism classes of Gamma-semimodules as well as certain subsets of the set of gaps of Gamma, and finally syzygies of Gamma-semimodules. In particular we compute the number of Gamma-semimodules which are isomorphic with their k-th syzygy for some k.
ISSN:	00371912
DOI:	10.1007/s00233-013-9559-7

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