A decomposition formula for the weighted commutator

Abstract

We decompose the weighted subobject commutator of M. Gran, G. Janelidze and A. Ursini as a join of a binary and a ternary commutator.

7 pages. Dedicated to George Janelidze on the occasion of his sixtieth birthday

References in corpus (3)

• A note on the "Smith is Huq" condition
• The ternary commutator obstruction for internal crossed modules
• Weighted commutators in semi-abelian categories

Cited by in corpus (3)

• Further remarks on the "Smith is Huq" condition
• On the "three subobjects lemma" and its higher-order generalisations
• What is an ideal a zero-class of?