Abstract
In this note we show that the main results of the paper [PR] can be obtained as consequences of more general results concerning categories whose morphisms can be uniquely presented as compositions of morphisms of their two subcategories with the same objects. First we will prove these general results and then we will apply it to the case of finite noncommutative sets.
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Słomińska, J. Decompositions of the category of noncommutative sets and Hochschild and cyclic homology. centr.eur.j.math. 1, 327–331 (2003). https://doi.org/10.2478/BF02475213
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DOI: https://doi.org/10.2478/BF02475213
Keywords
- cyclic homology
- Hochschild homology
- tensor product of functors
- noncommutative sets
- projective resolution