In this article we characterize noetherian local one-dimensional analytically irreducible and residually rational domains (R,m) which are non-Gorenstein, the non-negative integer l*(R)=t(R).l(R/C) – l(S/R) is equal to t(R)–1 and l(R/(C+xR))=2, where t(R) is the Cohen–Macaulay type of R , C is the conductor of R in the integral closure S of R in its quotient field Q(R) and xR is a minimal reduction of, by giving some conditions on the numerical semi-group v(R) of R.
On the length equalities for one–dimensional rings
TAMONE, GRAZIA
2006-01-01
Abstract
In this article we characterize noetherian local one-dimensional analytically irreducible and residually rational domains (R,m) which are non-Gorenstein, the non-negative integer l*(R)=t(R).l(R/C) – l(S/R) is equal to t(R)–1 and l(R/(C+xR))=2, where t(R) is the Cohen–Macaulay type of R , C is the conductor of R in the integral closure S of R in its quotient field Q(R) and xR is a minimal reduction of, by giving some conditions on the numerical semi-group v(R) of R.File in questo prodotto:
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