Abstract

We shall then explain how some of these results can be naturally extended to a categorical context [2,3], that also includes the categories of compact groups and of cocommutative Hopf algebras [4].

References

[1] J. D. Smith, *Mal’cev varieties, *Springer
Lect. Notes in Math. 554 (1976).

[2] M.C. Pedicchio,*A categorical approach to commutator
theory, *J. Algebra 177 (1995) 647-657.

[3] A. Duvieusart and M. Gran,*Higher commutator conditions
for extensions in Mal’tsev categories, *J. Algebra 515
(2018) 298-327.

[4] M. Gran, F. Sterck, J. Vercruysse,*A semi-abelian
extension of a theorem by Takeuchi, *J.
Pure Appl. Algebra (2019), pub.online.

[2] M.C. Pedicchio,

[3] A. Duvieusart and M. Gran,

[4] M. Gran, F. Sterck, J. Vercruysse,