论文标题

复合物类别中的一种新方法,ii

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

论文作者

Bennis, Driss, Rozas, Juan Ramón García, Ouberka, Hanane, Oyonarte, Luis

论文摘要

现在,众所周知,模块的副本如何为经典的投影性和平坦度提供一个富有成果的新统一框架。在本文中,我们通过概括和统一几个已知的经典结果,将此事实扩展到复合物类别。我们进一步提供了各种示例,以说明既定结果的范围和限制。本文的延续是最近的一项工作,其中在其他几件事中表明,复合物的亚物种的副本可以从同型类别中的形态学来表征。

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.

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