The 3x3 lemma in the $\Sigma$-Maltsev and $\Sigma$-protomodular settings. Applications to monoids and quandles

Dominique Bourn, Andrea Montoli

We investigate what is remaining of the 3x3 lemma and of the denormalized 3x3 lemma, respectively valid in a pointed protomodular and in a Maltsev category, in the context of parti…