In this paper, starting with a commutative ring R and a proper ideal I subset of R, we construct and study a new ring denoted by $R \bowtie I$. In particular, we prove that if R is a CM local ring, then $R \bowtie I$ is Gorenstein if and only if I is a canonical ideal of R and we apply this construction to algebroid curves

A construction of Gorenstein rings

D'ANNA, Marco
2006

Abstract

In this paper, starting with a commutative ring R and a proper ideal I subset of R, we construct and study a new ring denoted by $R \bowtie I$. In particular, we prove that if R is a CM local ring, then $R \bowtie I$ is Gorenstein if and only if I is a canonical ideal of R and we apply this construction to algebroid curves
Gorenstein ring; Canonical ideal; Algebroid curve
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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/20.500.11769/33814
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 104
  • ???jsp.display-item.citation.isi??? 97
social impact