<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

Publié en ligne: 25 mars 2015

Pages: 97 - 109

Reçu: 09 avr. 2014

Accepté: 20 sept. 2014

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

Mots clés
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

Publié en ligne: 25 mars 2015

Pages: 97 - 109

Reçu: 09 avr. 2014

Accepté: 20 sept. 2014

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

Mots clésPurement 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.

Mots clés
Purement inséparable, factorisation, e-factorisation, modulaire