论文标题
刚性模块和同源尺寸
Rigid modules and homological dimensions
论文作者
论文摘要
我们利用Tor-rigid和刚性测试模块的概念，以及研究同种学消失与几个同源维度（例如投影，注入性，注入性和戈伦斯坦）的有限性之间的相互作用。除了模块的烦恼标准外，应用程序还包括Gorenstein和常规局部环的新特征，它们在代数几何的领域也很感兴趣。
We make use of the concepts of Tor-rigid and rigid-test modules, among others, to investigate the interplay between cohomology vanishing and the finiteness of several homological dimensions such as projective, injective and Gorenstein injective dimensions. Besides criteria for the freeness of modules, the applications include new characterizations of Gorenstein and regular local rings, which are also of interest in the realm of algebraic geometry.
