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作者:

Hu, Y. (Hu, Y..) | Yao, H. (Yao, H..)

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摘要:

To study homological dimensions, the finiteness of the weak global dimension of algebras was investigated by the theory of recollements. Assume that (D(Mod B),D(Mod A),D(Mod C)) is a standard recollement of derived categories. Results show that if the standard recollements satisfy some conditions, then the weak global dimension of the algebra A is finite if and only if so are the algebras B and C. As an application, results show that the finiteness of the weak global dimension of an algebra is invariant under derived equivalent. © 2018, Editorial Department of Journal of Beijing University of Technology. All right reserved.

关键词:

Derived category; Derived equivalence; Recollement; Weak global dimension

作者机构:

  • [ 1 ] [Hu, Y.]College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Yao, H.]College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China

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来源 :

Journal of Beijing University of Technology

ISSN: 0254-0037

年份: 2018

期: 11

卷: 44

页码: 1454-1458

被引次数:

WoS核心集被引频次: 0

SCOPUS被引频次: 1

ESI高被引论文在榜: 0 展开所有

万方被引频次:

中文被引频次:

近30日浏览量: 1

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