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,(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)
Author NameAffiliation
LI Yuan Faculty of Science, Beijing University of Technology, Beijing 100124, China. 
YAO Hailou Faculty of Science, Beijing University of Technology, Beijing 100124, China. 
Hits: 204
Download times: 279
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.
View Full Text  View/Add Comment  Download reader
Close

Organizer:The Ministry of Education of China Sponsor:Fudan University Address:220 Handan Road, Fudan University, Shanghai, China E-mail:edcam@fudan.edu.cn
Designed by Beijing E-Tiller Co.,Ltd.