%0 Journal Article
%T 所有τ-刚性模是投射模的代数<br>On algebras with all τ-rigid modules projective
%A 谢宗真
%A 张孝金&lt
%A br&gt
%A XIE Zong-zhen
%A ZHANG Xiao-jin
%J 山东大学学报（理学版）
%D 2016
%R 10.6040/j.issn.1671-9352.0.2015.185
%X 摘要： 给出了某类特殊的代数上利用单模构造不可分解τ-刚性模的方法。并由此得出所有τ-刚性模是投射模的根平方为零的本原的不可分解代数是局部代数。<br>Abstract: For a special class of algebras, a method on constructing indecomposable τ-rigid modules from simple modules is given. As a result, it is proved that a basic and connected algebra A with radical square zero is local if all τ-rigid A-modules are projective
%K 单模
%K &lt
%K i&gt
%K τ&lt
%K /i&gt
%K -刚性模
%K 根平方为零的代数
%K &lt
%K br&gt
%K &lt
%K i&gt
%K τ&lt
%K /i&gt
%K -rigid modules
%K algebras with radical square zero
%K simple modules
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2015.185