论文标题
由单态性代表的形态学,无n-torsionfree cokernel
Morphisms represented by monomorphisms with n-torsionfree cokernel
论文作者
论文摘要
我们介绍并研究了一种新的形态学类,其中包括以澳大利亚和布里奇的意义来代表的单态形态。作为一种应用,我们不仅给出了由单态代表的态度定理的扩展,而且还延伸了由于Auslander和Bridger引起的几个结果的共同概括,这些结果描述了Torsionfreeness与Ext模块等级之间的关系。
We introduce and study a new class of morphisms which includes morphisms represented by monomorphisms in the sense of Auslander and Bridger. As an application, we give not only an extension of Kato's theorem on morphisms represented by monomorphisms, but also a common generalization of several results due to Auslander and Bridger that describe relationships between torsionfreeness and the grades of Ext modules.