Classifying Recollements of Derived Module Categories for Derived Discrete Algebras

IF 0.5 4区数学 Q3 MATHEMATICS

Algebras and Representation Theory Pub Date : 2023-07-12 DOI:10.1007/s10468-023-10220-2

Xiuli Bian

引用次数: 0

Abstract

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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导出离散代数的导出模范畴的分类集合

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebras and Representation Theory 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebras and Representation Theory features carefully refereed papers relating, in its broadest sense, to the structure and representation theory of algebras, including Lie algebras and superalgebras, rings of differential operators, group rings and algebras, C*-algebras and Hopf algebras, with particular emphasis on quantum groups. The journal contains high level, significant and original research papers, as well as expository survey papers written by specialists who present the state-of-the-art of well-defined subjects or subdomains. Occasionally, special issues on specific subjects are published as well, the latter allowing specialists and non-specialists to quickly get acquainted with new developments and topics within the field of rings, algebras and their applications.