We generalize some results on reconstructing sets to the case of ideals of 𝕜[X₁,...,Xₙ]. We show that reconstructing sets can be approximated by finite subsets having the property of reconstructing automorphisms of bounded degree.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-1-1, author = {Pawe\l\ Gniadek}, title = {On reconstructing algebraic sets and ideals}, journal = {Annales Polonici Mathematici}, volume = {92}, year = {2007}, pages = {1-10}, zbl = {1128.14043}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-1-1} }
Paweł Gniadek. On reconstructing algebraic sets and ideals. Annales Polonici Mathematici, Tome 92 (2007) pp. 1-10. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap91-1-1/