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arXiv · 2205.09264

Balanced pairs and tilting modules in recollement

Peiyu Zhang·Dajun Liu·Jiaqun Wei
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Abstract

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.

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Peiyu Zhang, Dajun Liu, Jiaqun Wei. 2022-05-19. Balanced pairs and tilting modules in recollement. https://arxiv.org/abs/2205.09264

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