Constructing cotorsion pairs over generalized path algebras  

作　　者：Haiyan ZHU 

机构地区：[1]College of Science, Zhejiang University of Technology, Hangzhou 310023, China

出　　处：《Frontiers of Mathematics in China》2016年第4期1079-1096,共18页中国高等学校学术文摘·数学（英文）

基　　金：This work was carried out while the author was a visitor at University of California, Berkeley; she thanks Prof. T. Y. Lam for the very helpful comments and suggestions. This work was supported by the National Natural Science Foundation of China （Grant No. 11201424） and the Natural Science Foundation of Zhejiang Province （No. LY12A01026）.

摘　　要：We introduce two adjoint pairs （eλ^i（）i） and （（）i,ep^i） and give a new method to construct cotorsion pairs. As applications, we characterize all projective and injective representations of a generalized path algebra and exhibit projective and injective objects of the category Mp which is a generalization of monomorphisms category.We introduce two adjoint pairs （eλ^i（）i） and （（）i,ep^i） and give a new method to construct cotorsion pairs. As applications, we characterize all projective and injective representations of a generalized path algebra and exhibit projective and injective objects of the category Mp which is a generalization of monomorphisms category.

关 键 词：Cotorsion pair REPRESENTATION generalized path algebra 

分 类 号：O157.5[理学—数学] O153.5[理学—基础数学]