Rees algebras of contracted ideals in two-dimensional regular local rings

DOI10.1016/0021-8693(91)90201-IzbMath0736.13016MaRDI QIDQ1175714

Jugal Kishore Verma

Publication date: 25 June 1992

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Rees algebraregular local ringcontracted idealCohen-Macaulay ring with minimal multiplicityreduction number one

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Regular local rings (13H05)

Related Items (3)

On the almost Gorenstein property in the Rees algebras of contracted ideals ⋮ Cohen-macaulay symmetric algebras with maximal embedding dimension of almost complete intersection ideals ⋮ Rees algebras of parameter ideals

Cites Work

• Hilbert functions and symbolic powers
• Birational extensions in dimension two and integrally closed ideals
• On the associated graded ring of an ideal
• Certain graded algebras are always Cohen-Macaulay
• On the associated graded ring of a local Cohen-Macaulay ring
• A conjecture of Nagata on graded Cohen-Macaulay rings
• Rees Algebras and Mixed Multiplicities
• Rings associated with ideals and analytic spread
• Hilbert Functions and Pseudo-Rational Local Rings of Dimension Two
• Local Rings of High Embedding Dimension
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