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

作　　者：李园 姚海楼[1] LI Yuan;YAO Hailou(Faculty of Science,Beijing University of Technology,Beijing 100124,China)

机构地区：[1]北京工业大学理学部,北京100124

出　　处：《数学年刊（A辑）》2020年第4期357-370,共14页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11671126)的资助。

摘　　要：众所周知,Assem-SmalΦ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-SmalΦ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.As it is well-known,Assem-SmalΦtheorem plays an important role in tilting theory.The purpose of this paper is to establish a version of Assem-SmalΦtheorem in comodule categories and characterize the cotilting torsion classes in comodule categories by means of the preenvelope theory.

关 键 词：Finendo 预包络 余倾斜余模 余倾斜挠类 

分 类 号：O153.3[理学—数学]