Homological properties and Hilbert functions

2009 ◽  
pp. 199-249
Author(s):  
Winfried Bruns ◽  
Joseph Gubeladze
Keyword(s):  
Hilbert Functions

FINITENESS OF HILBERT FUNCTIONS FOR GENERALIZED COHEN–MACAULAY MODULES

2001 ◽  
Vol 29 (2) ◽  
pp. 805-813 ◽  
Author(s):  
Vijaylaxmi Trivedi
Keyword(s):  
Hilbert Functions

Hilbert functions and the extension functor

1989 ◽  
Vol 105 (3) ◽  
pp. 441-446 ◽  
Author(s):  
David Kirby
Keyword(s):  
Commutative Ring ◽  
Hilbert Functions ◽  
Definition Of

Throughout R will denote a commutative ring with identity, A,B etc. will denote ideals of R, and E will denote a unitary R-module. We recall from [5] the definition of homological grade hgrR(A;E) as inf{r|ExtRr(R/A,E) ≠ 0}, and we allow both hgrR(A;E) = ∞ (i.e. ExtRr(R/A,E) = 0 for all r) and AE = E. For the most part E will be Noetherian, in which case hgrR(A;E) coincides with the usual grade grR(A;E) which is the supremum of the lengths of the (weak) E-sequences contained in A (see [7], for example).

scholarly journals Interval conjectures for level Hilbert functions

2009 ◽  
Vol 321 (10) ◽  
pp. 2705-2715 ◽  
Author(s):  
Fabrizio Zanello
Keyword(s):  
Hilbert Functions

Gröbner bases specialization through Hilbert functions

2000 ◽  
Vol 34 (1) ◽  
pp. 1-8 ◽  
Author(s):  
M.-J. Gonzalez-Lopez ◽  
L. Gonzalez-Vega ◽  
C. Traverso ◽  
A. Zanoni
Keyword(s):  
Gröbner Bases ◽  
Grobner Bases ◽  
Hilbert Functions
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