On generalized k-syzygy modules  

作　　者：Chong-hui HUANG & Zhao-yong HUANG Department of Mathematics, Nanjing University, Nanjing 210093, China College of Mathematics and Physics, Nanhua University, Hengyang 421001, China 

出　　处：《Science China Mathematics》2007年第5期675-682,共8页中国科学：数学（英文版）

基　　金：the Specialized Research Fund for the Doctoral Program of Higher Education (Grant Nos. 20030284033, 20060284002);the Natural Science Foundation of Jiangsu Province of China (Grant No. BK2005207)

摘　　要：In this paper, we first introduce the notion of generalized k-syzygy modules, and then give an equivalent characterization that the class of generalized k-syzygy modules coincides with that ofω-k-torsionfree modules. We further study the extension closure of the category consisting of generalized k-syzygy modules. Some known results are obtained as corollaries.In this paper, we first introduce the notion of generalized k-syzygy modules, and then give an equivalent characterization that the class of generalized k-syzygy modules coincides with that ofω-k-torsionfree modules. We further study the extension closure of the category consisting of generalized k-syzygy modules. Some known results are obtained as corollaries.

关 键 词：GENERALIZED k-syzygy MODULE ω-k-torsionfree MODULE EXTENSION CLOSURE 

分 类 号：O153.3[理学—数学]