We study the type and the almost symmetric condition for good subsemigoups of N^2, a class of semigroups containing the value semigroups of curve singularities with two branches. We define the type in term of a partition of a specific set associated to the semigroup and we show that this definition generalizes the well known notion of type of a numerical semigroup and has a good behaviour with respect to the corresponding concept for algebroid curves. Then we study almost symmetric good semigroups, their connections with maximal embedding dimension good semigroups and their Apéry set, generalizing to this context several existent known results.

The type of a good semigroup and the almost symmetric condition

D'Anna M.
;
Guerrieri L;Micale V
2020-01-01

Abstract

We study the type and the almost symmetric condition for good subsemigoups of N^2, a class of semigroups containing the value semigroups of curve singularities with two branches. We define the type in term of a partition of a specific set associated to the semigroup and we show that this definition generalizes the well known notion of type of a numerical semigroup and has a good behaviour with respect to the corresponding concept for algebroid curves. Then we study almost symmetric good semigroups, their connections with maximal embedding dimension good semigroups and their Apéry set, generalizing to this context several existent known results.
2020
value semigroups, algebroid curves, Almost Gorenstein rings, almost sym- metric semigroups, type of a ring, Apéry set
File in questo prodotto:
File Dimensione Formato  
type good semigroup 6.pdf

accesso aperto

Descrizione: Articolo
Tipologia: Documento in Pre-print
Licenza: PUBBLICO - Pubblico con Copyright
Dimensione 366.32 kB
Formato Adobe PDF
366.32 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: https://hdl.handle.net/20.500.11769/366487
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 4
social impact