The aim of the paper is to introduce an approach to the theory of 2-categories which is based on systematic use of the Grothendieck construction and the Segal Machine and to show how adjunction questions can be investigated by means of this approach and what its connections are with more traditional approaches. As an application, the derived Morita 2-category and the Fourier–Mukai 2-category over a Noetherian ring are constructed and the embedding of the latter in the former is demonstrated.

Bibliography: 15 titles.

中文翻译：

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2 类附加

本文的目的是介绍一种基于系统使用格洛腾迪克结构和西格尔机器的二分类理论方法，并展示如何通过这种方法研究附加问题及其联系。用更传统的方法。作为一个应用，在 Noetherian 环上构建了派生的 Morita 2 范畴和 Fourier-Mukai 2 范畴，并证明了后者在前者中的嵌入。

参考书目：15 个标题。