论文标题
回忆中的平衡对和倾斜模块
Balanced pairs and tilting modules in recollement
论文作者
论文摘要
在本文中,首先,我们主要研究回忆中三个阿贝尔类别之间平衡对的关系。作为可允许的平衡对的应用,我们介绍了相对倾斜模块的概念,并给出了相对倾斜模块的表征,这些模块类似于Bazzoni n-Tilting模块的表征[4]。最后,我们主要考虑回忆中相对倾斜模块的关系。
In this paper, firstly, we mainly study the relationship of balanced pairs among three Abelian categories in a recollement. As an application of admissible balanced pairs, we introduce the notion of the relative tilting modules, and give a characterization of relative tilting modules, which similar to Bazzoni characterization of n-tilting modules [4]. Finally, we mainly consider the relationship of relative tilting modules in a recollement.