Echelons of power series and Gabrielov's counterexample to nested linear Artin approximation

Autor:	Maria Emilia Alonso, F.J. Castro-Jiménez, Christoph Koutschan, Herwig Hauser
Rok vydání:	2018
Předmět:	Power series Pure mathematics Mathematics::Commutative Algebra Generalization General Mathematics Computation 010102 general mathematics Subring 01 natural sciences 010104 statistics & probability Standard basis 0101 mathematics Mathematics Counterexample
Zdroj:	Bulletin of the London Mathematical Society. 50:649-662
ISSN:	0024-6093
DOI:	10.1112/blms.12162
Popis:	Gabrielov's famous example for the failure of analytic Artin approximation in the presence of nested subring conditions is shown to be due to a growth phenomenon in standard basis computations for echelons, a generalization of the concept of ideals in power series rings.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::05c617c1444457d8ba1390db3191ae78 https://doi.org/10.1112/blms.12162 Zobrazit plný text záznamu Plný text