Value semigroups of non irreducible singular algebraic curves and their fractional ideals are submonoids of Z^n that are closed under infimums, have a conductor and fulfill a special compatibility property on their elements. Monoids of N^n fulfilling these three conditions are known in the literature as good semigroups and there are examples of good semigroups that are not realizable as the value semigroup of an algebraic curve. In this paper we consider good semigroups independently from their algebraic counterpart, in a purely combinatoric setting. We define the concept of good system of generators, and we show that minimal good systems of generators are unique.

Good subsemigroups of Nn

D'ANNA, Marco;MICALE, VINCENZO;
2018

Abstract

Value semigroups of non irreducible singular algebraic curves and their fractional ideals are submonoids of Z^n that are closed under infimums, have a conductor and fulfill a special compatibility property on their elements. Monoids of N^n fulfilling these three conditions are known in the literature as good semigroups and there are examples of good semigroups that are not realizable as the value semigroup of an algebraic curve. In this paper we consider good semigroups independently from their algebraic counterpart, in a purely combinatoric setting. We define the concept of good system of generators, and we show that minimal good systems of generators are unique.
Semigroup of values
Arf semigroup
Good semigroup
File in questo prodotto:
File Dimensione Formato  
good-semigroups-with-corrections.pdf

non disponibili

Descrizione: Articolo principale
Tipologia: Documento in Pre-print
Dimensione 376.94 kB
Formato Adobe PDF
376.94 kB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/311455
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 10
  • ???jsp.display-item.citation.isi??? 8
social impact