论文标题
诺瑟里亚戒指的各个基因座的开放性
Openness of various loci over Noetherian rings
论文作者
论文摘要
在本文中，我们考虑了有限生成的模块在通勤的Noetherian环上的p-ocus的开放性，如果P是每个属性FID，GOR，GOR，CM，MCM（S_N）和（T_N）的情况。主要结果之一断言，可接受的环上的FID-LOCI是开放的。我们给出了Nagata标准的模块版本，并证明了它为上述所有属性所保留。
In this paper, we consider the openness of the P-locus of a finitely generated module over a commutative noetherian ring in the case where P is each of the properties FID, Gor, CM, MCM, (S_n), and (T_n). One of the main results asserts that FID-loci over an acceptable ring are open. We give a module version of the Nagata criterion, and prove that it holds for all of the aforementioned properties.
