Some remarks on cotilting comodules  

作　　者：Sujuan ZHANG Hailou YAO 

机构地区：[1]College of Applied Sciences, Beijing University of Technology, Beijing 100124, China [2]Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China

出　　处：《Frontiers of Mathematics in China》2014年第3期699-714,共16页中国高等学校学术文摘·数学（英文）

基　　金：Acknowledgements The authors would like to thank the referees for the careful reading and valuable suggestions. This work was supported by National Natural Science Foundation of China （Grant Nos. 11271119, 11201314） and the Natural Science Foundation of Beijing （Grant No. 1122002）.

摘　　要：We study cotilting comodules and f-cotilting comodules and give a description of localization of f-cotilting comodules and classical tilting comodules. First, we introduce T-cotilting injective comodules and their dimensions which are important for researching cotilting comodules. Then we characterize the localization in f-cotilting comodules, finitely copresented comodules, and classical tilting comodules. In particular, we obtain a localizing property about finitely copresented comodules.We study cotilting comodules and f-cotilting comodules and give a description of localization of f-cotilting comodules and classical tilting comodules. First, we introduce T-cotilting injective comodules and their dimensions which are important for researching cotilting comodules. Then we characterize the localization in f-cotilting comodules, finitely copresented comodules, and classical tilting comodules. In particular, we obtain a localizing property about finitely copresented comodules.

关 键 词：COALGEBRA COMODULE LOCALIZATION 

分 类 号：O153.3[理学—数学] TP391.41[理学—基础数学]