Rees algebras with minimal multiplicity

DOI10.1080/00927878908823890zbMath0691.13024OpenAlexW2101731030MaRDI QIDQ3032372

Jugal Kishore Verma

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823890

zbMATH Keywords

Cohen-Macaulay local ringRees algebraminimal multiplicity

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (8)

Mixed multiplicities of modules over noetherian local rings ⋮ Reduction numbers and multiplicities of multigraded structures ⋮ Cohen-macaulay symmetric algebras with maximal embedding dimension of almost complete intersection ideals ⋮ Rees Algebras of Ideals Having Small Analytic Deviation ⋮ Joint reductions and Rees algebras ⋮ Multigraded Rees algebras of \({\mathfrak M}\)-primary ideals in local rings of dimension greater than one ⋮ Mixed multiplicities of arbitrary ideals in local rings ⋮ On some properties of (fc)-sequences of ideals in local rings

Cites Work

• Certain graded algebras are always Cohen-Macaulay
• Cohen-Macaulay local rings of maximal embedding dimension
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Graded algebras of powers of ideals generated by A-sequences
• Rings associated with ideals and analytic spread
• Local Rings of High Embedding Dimension

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