A decomposition formula for the weighted commutator
Nelson Martins-Ferreira, Tim Van der Linden

TL;DR
This paper presents a new decomposition formula for the weighted subobject commutator, breaking it down into a join of binary and ternary commutators, advancing the understanding of algebraic structures.
Contribution
It introduces a novel decomposition formula for the weighted subobject commutator, providing a clearer structural insight.
Findings
Decomposition of the weighted subobject commutator into binary and ternary parts
Enhanced understanding of algebraic commutator structures
Potential applications in algebraic theory and related fields
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.
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