Decompositions of the category of noncommutative sets and Hochschild and cyclic homology |
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Authors: | Jolanta Słomińska |
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Institution: | (1) Faculty of Mathematics and Information Sciences, Technical University of Warsaw, Plac Politechniki 1, 00-661 Warszawa, Poland |
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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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Keywords: | cyclic homology Hochschild homology tensor product of functors noncommutative sets projective resolution |
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