%0 Journal Article
%T Gorenstein代数上的倾斜模的个数<br>The number of tilting modules over Gorenstein algebras
%A 陈文倩
%A 张孝金
%A 昝立博&lt
%A br&gt
%A CHEN Wen-qian
%A ZHANG Xiao-jin
%A ZAN Li-bo
%J 山东大学学报（理学版）
%D 2018
%R 10.6040/j.issn.1671-9352.0.2017.654
%X 摘要： 若A是一个Gorenstein代数,则倾斜右A-模的个数等于倾斜左A-模的个数。给出反例说明自内射维数大于等于2的Gorenstein代数B的经典倾斜右B-模的个数不一定等于经典倾斜左B-模的个数。<br>Abstract: For a Gorenstein algebra A, the number of tilting right A-modules is equal to the number of tilting left A-modules. A counter-example is given to show that for a Gorenstein algebra B with self-injective dimension no less than 2, the number of classical tilting left B-modules is not necessary to be equal to that of classical tilting right B-modules
%K Gorenstein代数
%K 倾斜模
%K 余倾斜模
%K &lt
%K br&gt
%K Gorenstein algebra
%K tilting module
%K cotilting module
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2017.654