论文标题

部分可观测时空混沌系统的无模型预测

Silting objects and torsion pairs in comma categories

论文作者

Zhang, Peiyu, Wang, Xinyu, Liu, Dajun, Wang, Li, Wei, Jiaqun

论文摘要

在本文中,我们首先给出逗号类别中淤泥对象的表征,假设C1和C2是左R模块的两个子类别,D1和D2是左S模块的两个子类别。我们主要证明(C1,C2)和(D1,D2)是扭转对,并且仅当特殊逗号类别中的两对诱导的两对是在某些条件下的扭转对。

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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