Balanced Pairs and Relative Tilting Objects in Recollements of Abelian Categories

IF 0.8 3区数学 Q2 MATHEMATICS

Acta Mathematica Sinica-English Series Pub Date : 2025-01-24 DOI:10.1007/s10114-025-3331-2

Peiyu Zhang, Menghui Liu, Dajun Liu, Jiaqun Wei

引用次数: 0

Abstract

In this paper, we study the relationship of balanced pairs in a recollement. As an application of balanced pairs, we introduce the notion of the relative tilting objects, and give a characterization of relative tilting objects, which is similar to Bazzoni characterization of n-tilting modules. Finally, we investigate the relationship of relative tilting objects in a recollement.

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阿贝尔范畴集合中的平衡对和相对倾斜对象

本文研究了回退中平衡对的关系。作为平衡对的一个应用，我们引入了相对倾斜对象的概念，并给出了相对倾斜对象的表征，该表征类似于n-倾斜模块的Bazzoni表征。最后，我们研究了在回弹中相对倾斜物体之间的关系。

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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来源期刊

Acta Mathematica Sinica-English Series 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

138

审稿时长

14.5 months

期刊介绍： Acta Mathematica Sinica, established by the Chinese Mathematical Society in 1936, is the first and the best mathematical journal in China. In 1985, Acta Mathematica Sinica is divided into English Series and Chinese Series. The English Series is a monthly journal, publishing significant research papers from all branches of pure and applied mathematics. It provides authoritative reviews of current developments in mathematical research. Contributions are invited from researchers from all over the world.