论文标题
在模块上,m和m*是半戈伦斯坦 - 标记
On modules M such that M and M* are semi-Gorenstein-projective
论文作者
论文摘要
让A成为Artin代数。如果所有i> 0的ext^i(m,a)= 0。正如我们最近所表明的那样,相反的是不正确的,因此回答了Avramov和Martsinkovsky提出的一个问题。本注的目的是详细分析模块M,以使M和M*都是半哥伦斯坦螺旋式注射器。
Let A be an artin algebra. An A-module M is semi-Gorenstein-projective provided that Ext^i(M,A) = 0 for all i > 0. If M is Gorenstein-projective, then both M and its A-dual M* are semi-Gorenstein projective. As we have shown recently, the converse is not true, thus answering a question raised by Avramov and Martsinkovsky. The aim of the present note is to analyse in detail the modules M such that both M and M* are semi-Gorenstein-projective.