Recollements of extension algebras  

作　　者：陈清华 林亚南 

机构地区：[1]Department of Mathematics,Xiamen University, Xiamen 361005 [2]China 2.Department of Mathematics,Fujian Normal University,Fuzhou 350007,China [3]Department of Mathematics,Xiamen University, Xiamen 361005, China

出　　处：《Science China Mathematics》2003年第4期530-537,共8页中国科学：数学（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(Grant No.10071062); the Committee of Education Foundation of Fujian(Grant No.K 2001032).

摘　　要：Let A be a finite-dimensional algebra over arbitrary base fieldk. We prove: if the unbounded derived module category D-(Mod-A) admits symmetric recollement relative to unbounded derived module categories of two finite-dimensionalk-algebras B and C: then the unbounded derived module category D-(Mod - T(A)) admits symmetric recollement relative to the unbounded derived module categories of T(B) and T(C):Let A be a finite-dimensional algebra over arbitrary base field k. We prove: if the unbounded derived module category D-(Mod-A) admits symmetric recollement relative to unbounded derived module categories of two finite-dimensional k-algebras B and C:D-(Mod- B) ( ) D-(Mod- A) ( ) D-(Mod- C),then the unbounded derived module category D-(Mod - T(A)) admits symmetric recollement relative to the unbounded derived module categories of T(B) and T(C):D-(Mod - T(B)) ( ) D-(Mod - T(A)) ( ) D-(Mod - T(C)).

关 键 词：TRIVIAL extension algebras  derived categories  (symmetric) recollements  partial TILTING complexes. 

分 类 号：O153[理学—数学]