On reconstructing algebraic sets and ideals

被引：0

作者：

Gniadek, Pawel ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Math, PL-30059 Krakow, Poland

来源：

ANNALES POLONICI MATHEMATICI | 2007年 / 91卷 / 01期

关键词：

polynomial automorphisms; Grobner bases;

D O I：

10.4064/ap91-1-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize some results on reconstructing sets to the case of ideals of k[X-1, . . . , X-n]. We show that reconstructing sets can be approximated by finite subsets having the property of reconstructing automorphisms of bounded degree.

引用

页码：1 / 10

页数：10

共 50 条

[31] Algebraic properties of ideals of poset homomorphisms
Juhnke-Kubitzke, Martina
Katthaen, Lukas
Madani, Sara Saeedi
JOURNAL OF ALGEBRAIC COMBINATORICS, 2016, 44 (03) : 757 - 784
[32] Complemented ideals in A(Rd) of algebraic curves
Vogt, Dietmar
ARCHIV DER MATHEMATIK, 2009, 92 (05) : 531 - 537
[33] DERIVATIONS WITH ALGEBRAIC VALUES ON LIE IDEALS
LANSKI, C
COMMUNICATIONS IN ALGEBRA, 1990, 18 (05) : 1379 - 1399
[34] CHARACTERIZATION OF IDEALS OF REAL ALGEBRAIC VARIETIES
RISLER, JJ
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1970, 271 (23): : 1171 - &
[35] INTEGRAL ALGEBRAIC DEPENDENCE IN THEORIES ON IDEALS
SCHEJA, G
COMMENTARII MATHEMATICI HELVETICI, 1970, 45 (03) : 384 - &
[36] ALGEBRAIC BOUNDS ON ANALYTIC MULTIPLIER IDEALS
Lehmann, Brian
ANNALES DE L INSTITUT FOURIER, 2014, 64 (03) : 1077 - 1108
[37] Categories of algebraic sets
Diers, Y
APPLIED CATEGORICAL STRUCTURES, 1996, 4 (2-3) : 329 - 341
[38] Algebraic Properties of Edge Ideals and Cover Ideals of Unbalanced Crown Graphs
Rather, Shahnawaz Ahmad
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2022, 48 (03) : 1023 - 1035
[39] Affine algebraic sets relative to an algebraic theory
Diers Y.
Journal of Geometry, 1999, 65 (1-2) : 54 - 76
[40] On when the union of two algebraic sets is algebraic
Aichinger, Erhard
Behrisch, Mike
Rossi, Bernardo
AEQUATIONES MATHEMATICAE, 2024, 98 (05) : 1351 - 1371

← 1 2 3 4 5 →