The Zassenhaus Lemma in star-regular categories

Olivette Ngaha Ngaha;Sterck, Florence
(2019) Theory and Applications of Categories — Vol. 34, n° 38, p. 1196-1219 (2019)

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  • Olivette Ngaha NgahaUCLouvain
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  • Sterck, Florenceorcid-logoUCLouvain
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Abstract
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 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.
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Olivette Ngaha Ngaha, & Sterck, F. (2019). The Zassenhaus Lemma in star-regular categories. Theory and Applications of Categories, 34(38), 1196-1219. https://hdl.handle.net/2078.5/124537 (Original work published 2019)