Geodesic
The Zassenhaus lemma in star-regular categories
Theory and applications of categories, Tome 34 (2019), pp. 1196-1219

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

The Noether Isomorphism Theorems and the Zassenhaus Lemma from group theory have a non-pointed version in a suitable categorical context first considered by W. Tholen in his PhD thesis. This article leads to a unification of these results with the ones in the pointed categorical context previously considered by O.~Wyler, by working in the framework of \emph{star-regular} categories introduced by M.~Gran, Z.~Janelidze and A.~Ursini. Some concrete examples of categories where these results hold are examined in detail.

Publié le :
Classification : 18A20, 18A30, 18A32, 18C99, 16T05
Keywords: Factorisation systems, ideal of morphisms, normal category, star-regular category, ideal determined category, good theory of ideals, isomorphism theorems, Zassenhaus lemma, cocommutative Hopf algebra 
@article{TAC_2019_34_a37,
     author = {Olivette Ngaha Ngaha and Florence Sterck},
     title = {The {Zassenhaus} lemma in star-regular categories},
     journal = {Theory and applications of categories},
     pages = {1196--1219},
     publisher = {mathdoc},
     volume = {34},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2019_34_a37/}
}
TY  - JOUR
AU  - Olivette Ngaha Ngaha
AU  - Florence Sterck
TI  - The Zassenhaus lemma in star-regular categories
JO  - Theory and applications of categories
PY  - 2019
SP  - 1196
EP  - 1219
VL  - 34
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAC_2019_34_a37/
LA  - en
ID  - TAC_2019_34_a37
ER  - 
%0 Journal Article
%A Olivette Ngaha Ngaha
%A Florence Sterck
%T The Zassenhaus lemma in star-regular categories
%J Theory and applications of categories
%D 2019
%P 1196-1219
%V 34
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAC_2019_34_a37/
%G en
%F TAC_2019_34_a37
Olivette Ngaha Ngaha; Florence Sterck. The Zassenhaus lemma in star-regular categories. Theory and applications of categories, Tome 34 (2019), pp. 1196-1219. http://geodesic.mathdoc.fr/item/TAC_2019_34_a37/