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math.CT2018
The Zassenhaus lemma in star-regular categories
Olivette Ngaha Ngaha, Florence Sterck
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 th…
math.CT2018
A semi-abelian extension of a theorem by Takeuchi
Marino Gran, Florence Sterck, Joost Vercruysse
We prove that the category of cocommutative Hopf algebras over a field is a semi-abelian category. This result extends a previous special case of it, based on the Milnor-Moore theo…