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arXiv · 2205.08872

Relative AR-correspondence, co-t-structure and silting pair

Peiyu Zhang·Dajun Liu·Jiaqun Wei
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Abstract

As a generalization of tilting pair, which was introduced by Miyashita in \cite{YM}, the notion of silting pair is introduced in this paper. The authors extends a characterization of tilting modules given by Bazzoni \cite[Theorem~3.11]{BS} to silting pairs, and proves that there is an one-to-one correspondence between equivalent classes of silting pairs and certain subcategories which satisfy some conditions. Furthermore, the authors also gives a bijection between equivalent class of silting pairs and bounded above co-t-structure.

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Peiyu Zhang, Dajun Liu, Jiaqun Wei. 2022-05-18. Relative AR-correspondence, co-t-structure and silting pair. https://arxiv.org/abs/2205.08872

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