<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

Online veröffentlicht: 25. März 2015

Seitenbereich: 97 - 109

Eingereicht: 09. Apr. 2014

Akzeptiert: 20. Sept. 2014

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

Schlüsselwörter
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

Online veröffentlicht: 25. März 2015

Seitenbereich: 97 - 109

Eingereicht: 09. Apr. 2014

Akzeptiert: 20. Sept. 2014

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

SchlüsselwörterPurement 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.

Schlüsselwörter
Purement inséparable, factorisation, e-factorisation, modulaire