Work

Linear nested Artin approximation theorem for algebraic power series

Year: 2015

Type: preprint

Abstract: We give a new and elementary proof of the nested Artin approximation Theorem for linear equations with algebraic power series coefficients. Moreover, for any Noetherian local subring of the ring of formal power series, we clarify the relationship between this theorem and the problem of the com-mutation of two operations for ideals: the operation of replacing an ideal by its completion and the operation of replacing an ideal by one of its elimination ideals.

Source: HAL (Le Centre pour la Communication Scientifique Directe)

DOI: 10.48550/arxiv.1511.09275

Authors: Castro-Jiménez, Francisco-Jesus, Popescu, Dorin, Rond, Guillaume

Institutions: Centre National de la Recherche Scientifique, Aix-Marseille Université, Institut de Mathématiques de Marseille, Centrale Méditerranée

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Agence Nationale de la Recherche, Ministerio de Economía y Competitividad, Autoritatea Natională pentru Cercetare Stiintifică, Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii

Awards: Surfaces singularities, G6702880738, G6838503710