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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Dedicated to George Janelidze on the occasion of his sixtieth birthday
The first author was supported by IPLeiria/ESTG-CDRSP and Fundação para a Ciência e a Tecnologia (grants SFRH/BPD/4321/2008 and PTDC/MAT/120222/2010). The second author works as chercheur qualifié for Fonds de la Recherche Scientifique–FNRS. His research was supported by Centro de Matemática da Universidade de Coimbra and by Fundação para a Ciência e a Tecnologia (grant SFRH/BPD/38797/2007). He wishes to thank CMUC, IPLeiria and UCT for their kind hospitality during his stays in Coimbra, in Leiria and in Cape Town.
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Martins-Ferreira, N., Van der Linden, T. A Decomposition Formula for the Weighted Commutator. Appl Categor Struct 22, 899–906 (2014). https://doi.org/10.1007/s10485-013-9362-3
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DOI: https://doi.org/10.1007/s10485-013-9362-3
Keywords
- Semi-abelian category
- Finitely cocomplete homological category
- Weighted
- Higher-order commutator
- Co-smash product
- Weighted commutator