导出离散代数的导出模范畴的分类集合

Pub Date : 2023-07-12 DOI:10.1007/s10468-023-10220-2
Xiuli Bian
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引用次数: 0

摘要

我们研究了一类派生离散中山代数。我们确定了派生模类中所有不可分解的紧凑对象,并对不可分解的紧凑例外对象产生的所有重组子进行了分类。它揭示了所有这些重组子都等价于分层重组子。作为副产品,这也证实了奚国华关于这些重元素的一个问题。
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Classifying Recollements of Derived Module Categories for Derived Discrete Algebras

We study a class of derived discrete Nakayama algebras. All indecomposable compact objects in the derived module category are determined and all recollements generated by the indecomposable compact exceptional objects are classified. It reveals that all such recollements are derived equivalent to stratifying recollements. As a byproduct, this confirms a question due to Xi for these recollements.

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