Integrally closed ideals and type sequences in one-dimensional local rings

DOI10.1216/rmjm/1181071860zbMath0926.13004OpenAlexW2095342753MaRDI QIDQ1265151

Donatella Delfino, Marco D'Anna

Publication date: 24 November 1998

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL27-4/CONT27-4/CONT27-4.html

zbMATH Keywords

valuationnumerical semigroupintegrally closed ideallocal noetherian analytically irreducible domaintype sequence

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Integral domains (13G05)

Related Items (5)

On reflexive and 𝐼-Ulrich modules over curve singularities ⋮ On the length equalities for one-dimensional rings ⋮ Invariants associated with ideals in one-dimensional local domains ⋮ Type-sequences of modules ⋮ A length inequality for one-dimensional local rings

Cites Work

• Unnamed Item
• On the inequality \(\lambda (\bar R/R)\leq t(R)\lambda (R/{\mathfrak C})\) for one-dimensional local rings
• On the degree of singularity of one-dimensional analytically irreducible Noetherian local rings
• Stable Ideals and Arf Rings

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