On a theorem by de Felipe and Teissier about the comparison of two henselisations in the non-noetherian case - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Algebra Année : 2021

On a theorem by de Felipe and Teissier about the comparison of two henselisations in the non-noetherian case

Résumé

Let R be a local domain, v a valuation of its quotient field centred in R at its maximal ideal. We investigate the relationship between R^h, the henselisation of R as local ring, and ṽ, the henselisation of the valuation v, by focussing on the recent result by de Felipe and Teissier referred to in the title. We give a new proof that simplifies the original one by using purely algebraic arguments. This proof is moreover constructive in the sense of Bishop and previous work of the authors, and allows us to obtain as a by-product a (slight) generalisation of the theorem by de Felipe and Teissier.
Fichier principal
Vignette du fichier
engels.pdf (119.38 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-02923338 , version 1 (27-08-2020)
hal-02923338 , version 2 (04-01-2021)

Identifiants

Citer

María Emilia Alonso García, Henri Lombardi, Stefan Neuwirth. On a theorem by de Felipe and Teissier about the comparison of two henselisations in the non-noetherian case. Journal of Algebra, 2021, 570, pp.587-594. ⟨10.1016/j.jalgebra.2020.11.020⟩. ⟨hal-02923338v2⟩
75 Consultations
70 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More