scholarly journals Bounds on the normal Hilbert coefficients

2015 ◽  
Vol 144 (5) ◽  
pp. 1919-1930 ◽  
Author(s):  
Alberto Corso ◽  
Claudia Polini ◽  
Maria Evelina Rossi
Keyword(s):  
Hilbert Coefficients

scholarly journals Gorenstein Hilbert coefficients

2013 ◽  
Vol 5 (2) ◽  
pp. 179-207
Author(s):  
Sabine El Khoury ◽  
Hema Srinivasan
Keyword(s):  
Hilbert Coefficients

scholarly journals Hilbert Coefficients of Hilbert Filtrations

1998 ◽  
Vol 199 (1) ◽  
pp. 40-61 ◽  
Author(s):  
A Guerrieri ◽  
M.E Rossi
Keyword(s):  
Hilbert Coefficients

scholarly journals Hilbert coefficients of parameter ideals

2013 ◽  
Vol 5 (3) ◽  
pp. 399-412 ◽  
Author(s):  
Lori Mccune
Keyword(s):  
Hilbert Coefficients

scholarly journals Hilbert Coefficients and Depths of Form Rings

2004 ◽  
Vol 32 (4) ◽  
pp. 1445-1452 ◽  
Author(s):  
A. V. Jayanthan ◽  
Balwant Singh ◽  
J. K. Verma
Keyword(s):  
Hilbert Coefficients

scholarly journals Bounds for Hilbert coefficients

2008 ◽  
Vol 137 (02) ◽  
pp. 487-494 ◽  
Author(s):  
Jürgen Herzog ◽  
Xinxian Zheng
Keyword(s):  
Hilbert Coefficients

Hilbert–Samuel multiplicity and Northcott’s inequality relative to an Artinian module

2019 ◽  
Vol 30 (02) ◽  
pp. 379-396
Author(s):  
V. H. Jorge Pérez ◽  
T. H. Freitas
Keyword(s):  
Local Ring ◽  
Local Cohomology ◽  
Local Cohomology Module ◽  
Artinian Modules ◽  
Dimension Formula ◽  
Hilbert Coefficients ◽  
Artinian Module ◽  
Samuel Multiplicity

Let [Formula: see text] be a commutative quasi-local ring (with identity [Formula: see text]), and let [Formula: see text] be an [Formula: see text]-ideal such that [Formula: see text]. For [Formula: see text] an Artinian [Formula: see text]-module of N-dimension [Formula: see text], we introduce the notion of Hilbert-coefficients of [Formula: see text] relative to [Formula: see text] and give several properties. When [Formula: see text] is a co-Cohen–Macaulay [Formula: see text]-module, we establish the Northcott’s inequality for Artinian modules. As applications, we show some formulas involving the Hilbert coefficients and we investigate the behavior of these multiplicities when the module is the local cohomology module.

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