In semi-abelian categories satisfying the Smith-is-Huq condition, pairs of compatible actions are characterized by the existence of a common base object with two internal crossed module structures, and the Peiffer product is constructed as a coequalizer.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CT 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Compatible actions in semi-abelian categories
In semi-abelian categories satisfying the Smith-is-Huq condition, pairs of compatible actions are characterized by the existence of a common base object with two internal crossed module structures, and the Peiffer product is constructed as a coequalizer.