<abstract xmlns="http://www.w3.org/1999/xhtml"> Let K/k be a finite purely inseparable extension of field k of characteristic p > 0. A factorization of length m of K/k is the data of m intermediate fields K1,K2, ··· ,Km of K/k such as K ≃ K1 ⊗k K2 ⊗k ···⊗k Km. In the present paper, we are especially interested in the uniqueness of the form of factorizations of maximum length. </abstract>

Let K/k be a finite purely inseparable extension of field k of characteristic p > 0. A factorization of length m of K/k is the data of m intermediate fields K1,K2, ··· ,Km of K/k such as K ≃ K1 ⊗k K2 ⊗k ···⊗k Km. In the present paper, we are especially interested in the uniqueness of the form of factorizations of maximum length.

Sur l’unicité de la forme des factorisations de longueur maximale d’une extension purement inséparable finie

Département de mathématiques Faculté des sciences Université Mohammed 1, Oujda Maroc

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Let K/k be a finite purely inseparable extension of field k of characteristic p > 0. A factorization of length m of K/k is the data of m intermediate fields...

Sur l’unicité de la forme des factorisations de longueur maximale d’une extension purement inséparable finie

Pubblicato online: 25 mar 2015

Pagine: 97 - 109

Ricevuto: 09 apr 2014

Accettato: 20 set 2014

DOI: https://doi.org/10.2478/awutm-2014-0013

Parole chiave
Purement inséparable, factorisation, e-factorisation, modulaire

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Sur l’unicité de la forme des factorisations de longueur maximale d’une extension purement inséparable finie

Pubblicato online: 25 mar 2015

Pagine: 97 - 109

Ricevuto: 09 apr 2014

Accettato: 20 set 2014

DOI: https://doi.org/10.2478/awutm-2014-0013

Parole chiavePurement inséparable, factorisation, e-factorisation, modulaire

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Parole chiave
Purement inséparable, factorisation, e-factorisation, modulaire