| 李 园,姚海楼.余模范畴中的余倾斜预包络和余倾斜挠类[J].数学年刊A辑,2020,41(4):357~370 |
| 余模范畴中的余倾斜预包络和余倾斜挠类 |
| Cotilting Preenvelope and Cotilting Torsion Classes in Comodule Categories |
| Received:April 05, 2020 Revised:June 29, 2020 |
| DOI：10.16205/j.cnki.cama.2020.0025 |
| 中文关键词: Finendo, 预包络, 余倾斜余模, 余倾斜挠类 |
| 英文关键词:Finendo, Preenvelope, Cotilting comodule, Cotilting torsion class |
| 基金项目:国家自然科学基金 (No.11671126) |
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| 中文摘要: |
| 众所周知, Assem-Smal定理在倾斜理论中有重要的作用.本文的目的是建立一个在余模范畴中的Assem-Smal定理的版本,并通过利用预包络理论来刻画余模范畴中的余倾斜挠类. |
| 英文摘要: |
| As it is well-known, Assem-Smalφ theorem plays an important role in tilting theory. The purpose of this paper is to establish a version of Assem-Smalφ theorem in comodule categories and characterize the cotilting torsion classes in comodule categories by means of the preenvelope theory. |
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