SEPARATING TILTING MODULES

被引：0
|
作者：
章璞
机构：
[1] PRC University of Science and Technology of china.Hefei 230026
[2] Beijing 100875
[3] Beijing Normal University
[4] Department of Mathematics
来源：
Science Bulletin | 1992年 / 12期
基金：
中国国家自然科学基金;
关键词：
separating tilting module; hereditary algebra; one-point extension;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：975 / 978
页数：4
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