Powers of Ideals Having Small Analytic Deviation

1992 ◽  
Vol 114 (2) ◽  
pp. 367 ◽  
Author(s):  
Sam Huckaba ◽  
Craig Huneke
Keyword(s):  
Powers Of Ideals

scholarly journals The Complexity of Frobenius Powers of Ideals

1998 ◽  
Vol 203 (1) ◽  
pp. 211-225 ◽  
Author(s):  
Mordechai Katzman
Keyword(s):  
Powers Of Ideals ◽  
Frobenius Powers

scholarly journals Symbolic powers of ideals of generic points in P3

2012 ◽  
Vol 216 (6) ◽  
pp. 1410-1417 ◽  
Author(s):  
Marcin Dumnicki
Keyword(s):  
Powers Of Ideals ◽  
Symbolic Powers ◽  
Generic Points

On local cohomology and Hilbert function of powers of ideals

2003 ◽  
Vol 112 (1) ◽  
pp. 77-92 ◽  
Author(s):  
L� Tu�n Hoa ◽  
Eero Hyry
Keyword(s):  
Hilbert Function ◽  
Local Cohomology ◽  
Powers Of Ideals

Powers of ideals of maximal minors

1988 ◽  
pp. 105-121
Author(s):  
Winfried Bruns ◽  
Udo Vetter
Keyword(s):  
Powers Of Ideals

On the parameter spaces of some Böröczky configurations

2018 ◽  
Vol 28 (07) ◽  
pp. 1231-1246
Author(s):  
Łucja Farnik ◽  
Jakub Kabat ◽  
Magdalena Lampa-Baczyńska ◽  
Halszka Tutaj-Gasińska
Keyword(s):  
Rational Points ◽  
Parameter Spaces ◽  
Powers Of Ideals ◽  
Configurations Of Lines

Böröczky configurations of lines have been recently considered in connection with the problem of the containment between symbolic and ordinary powers of ideals. Here, we describe parameter families of Böröczky configurations of [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] lines and investigate rational points of these parameter spaces.

scholarly journals Length of local cohomology of powers of ideals

2018 ◽  
Vol 371 (5) ◽  
pp. 3483-3503 ◽  
Author(s):  
Hailong Dao ◽  
Jonathan Montaño
Keyword(s):  
Local Cohomology ◽  
Powers Of Ideals

Powers of ideals

1997 ◽  
Vol 307 (2) ◽  
pp. 299-313 ◽  
Author(s):  
Irena Swanson
Keyword(s):  
Powers Of Ideals

Invertible powers of ideals over orders in commutative separable alǵebras

1970 ◽  
Vol 67 (2) ◽  
pp. 237-242 ◽  
Author(s):  
Michael Singer
Keyword(s):  
Group Algebra ◽  
Sylow Subgroup ◽  
Basic Result ◽  
Rational Group ◽  
Powers Of Ideals ◽  
Dedekind Domains ◽  
Result Theorem ◽  
Quantitative Results ◽  
Separable Algebras ◽  
Special Case

The purpose of this paper is to obtain quantitative results on invertible powers of (fractional) ideals in commutative separable algebras over dedekind domains. This is connected with the work of Dade, Taussky and Zassenhaus(2) on ideals in noetherian domains. We do not, however, make use of their paper, but rather draw on the general theorems on ideals in commutative separable algebras established by Fröhlich (3), in particular his qualitative result that some power of any given ideal is invertible. Our basic result (Theorem 1) concerns the invertibility of powers of a particular type of ideal, the componentwise dedekind ideals defined below. From this we deduce a general result (Theorem 2), which includes as a special case Theorem C of (2) for the case of separable field extensions; specifically, the (n – 1)th power of any ideal is invertible, where n is the dimension of the algebra. Although, as we show, it is possible to deduce Theorem 2 from (2), we have here an independent proof of one of the main results of (2) based entirely on the results in (3). As a further application of Theorem 1 we obtain a new result on ideals over the group ring of an abelian group over the ring of rational integers; the (t – 1)th power of such an ideal is invertible, where t is the maximum number of simple components of the rational group algebra of any Sylow subgroup. We also show that this is the best possible result when some Sylow subgroup whose rational group algebra has t components is cyclic.

scholarly journals Quasi Complete Intersections, Powers of Ideals, and Deficiency Modules

1998 ◽  
Vol 204 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Christopher S. Peterson
Keyword(s):  
Complete Intersections ◽  
Powers Of Ideals

The Golod property for powers of ideals and Koszul ideals

2019 ◽  
Vol 223 (2) ◽  
pp. 605-618 ◽  
Author(s):  
Rasoul Ahangari Maleki
Keyword(s):  
Powers Of Ideals
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