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
2006-01-01
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 curvesFile in questo prodotto:
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