阿贝尔范畴形成什么？

IF 1.4 4区数学 Q1 MATHEMATICS

Russian Mathematical Surveys Pub Date : 2021-12-03 DOI:10.1070/RM10044

D. Kaledin

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引用次数: 0

摘要

给出了两个有限可表示的阿贝尔范畴和，给出了一个由和构成的函子阿贝尔范畴的构造，该构造具有良好的2范畴性质，并为和的派生范畴之间的稳定函子稳定范畴提供了一个显式模型。这种构造是绝对的，使得它不仅可以恢复Hochschild上同，而且可以恢复Mac Lane上同。参考书目:29篇。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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What do Abelian categories form?

Given two finitely presentable Abelian categories and , we outline a construction of an Abelian category of functors from to , which has nice 2-categorical properties and provides an explicit model for a stable category of stable functors between the derived categories of and . The construction is absolute, so it makes it possible to recover not only Hochschild cohomology but also Mac Lane cohomology. Bibliography: 29 titles.

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来源期刊

Russian Mathematical Surveys 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Mathematical Surveys is a high-prestige journal covering a wide area of mathematics. The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The survey articles on current trends in mathematics are generally written by leading experts in the field at the request of the Editorial Board.