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Mathematics > Category Theory

arXiv:2203.01067 (math)
[Submitted on 2 Mar 2022]

Title:A new approach to projectivity in the categories of complexes, II

Authors:Driss Bennis, Juan Ramón García Rozas, Hanane Ouberka, Luis Oyonarte
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Abstract:It is now very known how the subprojectivity of modules provides a fruitful new unified framework of the classical projectivity and flatness. In this paper, we extend this fact to the category of complexes by generalizing and unifying several known classical results. We further provide various examples to illustrate the scopes and limits of the established results. This paper is a continuation of a recent work in which it was shown among other several things that the subprojectivity of complexes can be characterized in terms of morphisms in the homotopy category.
Comments: 15 pages
Subjects: Category Theory (math.CT)
MSC classes: 16E05
Cite as: arXiv:2203.01067 [math.CT]
  (or arXiv:2203.01067v1 [math.CT] for this version)
  https://doi.org/10.48550/arXiv.2203.01067

Submission history

From: Hanane Ouberka [view email]
[v1] Wed, 2 Mar 2022 12:37:21 UTC (11 KB)
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