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arXiv · 2207.04437

Silting objects and torsion pairs in comma categories

Peiyu Zhang·Xinyu Wang·Dajun Liu·Li Wang·Jiaqun Wei
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Abstract

In this paper, we first give a characterization of silting objects in the comma category Assume that C1 and C2 are two subcategories of left R-modules, D1 and D2 be two subcategories of left S-modules. We mainly prove that (C1, C2) and (D1, D2) are torsion pairs if and only if the induced two pairs in the special comma category are torsion pairs under certain conditions.

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Peiyu Zhang, Xinyu Wang, Dajun Liu, Li Wang, Jiaqun Wei. 2022-07-10. Silting objects and torsion pairs in comma categories. https://arxiv.org/abs/2207.04437

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