余倾斜余模和Hom-余倾斜余模的注记  

Some Notes on Cotilting Comodules and Hom-Cotilting Comodules

作　　者：张素娟 李静[1] ZHANG Sujuan;LI Jing(Department of Mathematics and Physics,Shijiazhuang Tiedao University,Shijiazhuang,Hebei,050043,P.R.China;Postdoctoral Research Station of Mathematics,Hebei Normal University,Shijiazhuang,Hebei,050024,P.R.China)

机构地区：[1]石家庄铁道大学数理系,河北石家庄050043 [2]河北师范大学数学博士后流动站,河北石家庄050024

出　　处：《数学进展》2021年第1期94-104,共11页Advances in Mathematics（China）

基　　金：Supported by the Natural Science Foundation of Hebei Province (No.A2019210057)。

摘　　要：本文证明了f-余倾斜余模的Bongartz引理,即一个偏f-余倾斜余模可以做成f-余倾斜余模.首先得到了f-余倾斜余模的性质以及C-余模和AT-模之间的函子同构.此外还研究了Hom-挠对和Hom-余倾斜余模.In this paper,we prove the Bongartz’s lemma of f-cotilting comodule which asserts that a partial f-cotilting comodule may always be completed to an f-cotilting comodule.As a first consequence,we obtain some characterisation of f-cotilting comodules and functorial isomorphisms between C-comodules and AT-modules.Among other things,we study Homtorsion pairs and Hom-cotilting comodules.

关 键 词：余倾斜余模 f-余倾斜余模 Hom-挠对 Hom-余倾斜余模 

分 类 号：O153.3[理学—数学]