Constructions of derived equivalences for algebras and rings  

作　　者：Changchang XI 

机构地区：[1]School of Mathematical Sciences [2] BCMIIS, Capital Normal University, Beijing 100048, China

出　　处：《Frontiers of Mathematics in China》2017年第1期1-18,共18页中国高等学校学术文摘·数学（英文）

基　　金：Acknowledgements The author is grateful to Wei Hu for comments on the first version of the manuscript and to Professors Nanqing Ding and Fang Li for help during the preparation of the manuscript. This work was supported in part by the Beijing Center of Mathematics and Information Interdisciplinary Sciences, the National Natural Science Foundation of China （Grant No. 1133006） and the Beijing Natural Science Foundation （Grant Nos. 1132005, KZ20140028033）.

摘　　要：In this article, we shall survey some aspects of our recent （or related） constructions of derived equivalences for algebras and rings.In this article, we shall survey some aspects of our recent （or related） constructions of derived equivalences for algebras and rings.

关 键 词：Derived equivalence Frobenius-finite algebra RECOLLEMENT stable equivalence tilting complex Yoneda algebra 

分 类 号：TM131[电气工程—电工理论与新技术] O171[理学—数学]