Hilbert coefficients of a Cohen-Macaulay module.

DOI10.1016/S0021-8693(03)00231-XzbMath1162.13303MaRDI QIDQ1398143

Tony Joseph Puthenpurakal

Publication date: 29 July 2003

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

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Cohen-Macaulay modules (13C14)

Related Items (20)

Ratliff-Rush filtration, regularity and depth of higher associated graded modules. I ⋮ Ratliff-Rush filtration, regularity and depth of higher associated graded modules. II. ⋮ Bass and Betti numbers of \(A/I^n\) ⋮ On the theory of generalized Ulrich modules ⋮ On Hilbert coefficients of filtrations ⋮ On Fiber Coefficients of Fiber Cones^† ⋮ The Hilbert function of a maximal Cohen-Macaulay module. II. ⋮ Growth of Hilbert coefficients of syzygy modules ⋮ Bockstein cohomology of associated graded rings ⋮ Asymptotic associate primes ⋮ Symmetries and connected components of the AR-quiver of a Gorenstein local ring ⋮ On the finiteness of the set of Hilbert coefficients ⋮ The second Hilbert coefficient of modules with almost maximal depth ⋮ A sub-functor for Ext and Cohen-Macaulay associated graded modules with bounded multiplicity ⋮ VANISHING OF (CO)HOMOLOGY OVER DEFORMATIONS OF COHEN-MACAULAY LOCAL RINGS OF MINIMAL MULTIPLICITY ⋮ On the monotonicity of Hilbert functions ⋮ Cohen-Macaulay local rings with \(e_2 = e_1 - e + 1\) ⋮ The Dual Hilbert–Samuel Function of a Maximal Cohen-Macaulay Module ⋮ Hilbert-Samuel functions of modules over Cohen-Macaulay rings ⋮ On coefficient ideals

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hilbert functions and symbolic powers
• \(\Delta\)-genera and sectional genera of commutative rings
• On form rings which are Cohen-Macaulay
• On the associated graded ring of a local Cohen-Macaulay ring
• On the coefficients of the Hilbert-Samuel polynomial
• Effect of a permissible blowing-up on the local Hilbert functions
• Form rings and regular sequences
• Homological Invariants of Powers of an Ideal
• Hilbert Coefficients and the Depths of Associated Graded Rings
• Local Rings of High Embedding Dimension
• A Note on the Coefficients of the Abstract Hilbert Function

This page was built for publication: Hilbert coefficients of a Cohen-Macaulay module.