Strict Mittag-Leffler Conditions and Gorenstein Modules

作者：Yang, Yanjiong^*; Yan, Xiaoguang; Zhu, Xiaosheng

来源：Algebras and Representation Theory, 2016, 19(6): 1451-1466.

DOI：10.1007/s10468-016-9626-3

• Mittag-Leffler condition
• Gorenstein module
• Tilting module
• Cotorsion pair
• Direct limit

In this paper, firstly, we characterize some rings by strict Mittag-Leffler conditions. Then, we investigate when Gorenstein projective modules are Gorenstein flat by employing tilting modules and cotorsion pairs. Finally, we study the direct limits of Gorenstein projective modules.

• 出版日期2016-12
• 单位南京大学; 南京晓庄学院; 台州学院