SEPARATING TILTING MODULES  

作　　者：章璞 

机构地区：[1]Department of Mathematics, Beijing Normal University, Beijing 100875, PRC University of Science and Technology of china.Hefei 230026,PRC

出　　处：《Chinese Science Bulletin》1992年第12期975-978,共4页

基　　金：Proiect supported by the National Natural Science Foundation of China

摘　　要：Let A be a basic, connected and finite-dimensional algebra over an algebraically closed field k. A tilting module A^T is called separating if the torsion theory (F(A^T), G(A^T)) induced by A^T is splitting in A-mod, i. e. any indecomposable module A^M belongs either to F(A^T) or to G(A^T). In this note we prove the following main result by using the representation theory of representation-infinite hereditary algebra.

关 键 词：SEPARATING TILTING module SLICE HEREDITARY ALGEBRA one-point EXTENSION 

分 类 号：N[自然科学总论]