On the Gorensteinness of Rees and form rings of almost complete intersections

DOI10.1017/S0027763000020572zbMath0528.13025OpenAlexW1521494346MaRDI QIDQ3309976

Shiro Goto, Yasuhiro Shimoda

Publication date: 1983

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000020572

zbMATH Keywords

Cohen-Macaulay ringRees ringalmost complete intersectionGorensteinnessform ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (6)

On the Gorenstein property of Rees algebras ⋮ Grothendieck groups, convex cones and maximal Cohen-Macaulay points ⋮ Rees Algebras of Ideals Having Small Analytic Deviation ⋮ On complete d-sequences and the defining ideals of Rees algebras ⋮ On the Depth of Blowup Algebras of Ideals with Analytic Deviation One ⋮ Hilbert-Samuel function and Grothendieck group

Cites Work

• A note on Rees algebras of two dimensional local domains
• Approximation complexes of blowing-up rings
• On the type of graded Cohen-Macaulay rings
• Certain graded algebras are always Cohen-Macaulay
• Cohen-Macaulay local rings of maximal embedding dimension
• A conjecture of Nagata on graded Cohen-Macaulay rings
• Almost complete intersections are not Gorenstein rings
• Generators and relations of abelian semigroups and semigroup rings
• A note on the 'Primbasissatz'
• Form rings and regular sequences
• Subrings of Generated by Monomials
• On Isolated Rational Singularities of Surfaces

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