ON THE COHEN–MACAULAYNESS OF SOME GRADED RINGS

DOI10.1142/S0219498808002692zbMath1146.14018MaRDI QIDQ3520472

Grazia Tamone, Dilip P. Patil

Publication date: 26 August 2008

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

Cohen-Macaulay ringssemigroup rings\(h\)-polynomialGorenstein ringsassociated graded ringsHilbert function of a local ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Singularities of curves, local rings (14H20)

Cites Work

• Good embedding dimensions for Gorenstein singularities
• Generators for the derivation modules and the relation ideals of certain curves
• On the length equalities for one-dimensional rings
• The conductor of one-dimensional Gorenstein rings in their blowing-up
• On the conductor of the blowing-up of a one-dimensional Gorenstein local ring
• On the Gorenstein property of the associated graded ring and the Rees algebra of an ideal
• Hilbert functions of graded algebras
• On the Hilbert function of certain non Cohen-Macaulay one-dimensional rings
• On the \(H\)-polynomial of certain monomial curves
• On the Hilbert function of certain rings of monomial curves
• A Note on Numerical Semigroups
• When is a regular sequence super regular?
• Cohen-macaulayness of the associated graded of a semigroup rings
• ON THE TYPE OF THE ASSOCIATED GRADED RING OF CERTAIN MONOMIAL CURVES
• Stable Ideals and Arf Rings

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