论文标题
关于某些类型的广义Cohen-Macaulay模块的不变性
On the invariance of certain types of generalized Cohen-Macaulay modules under Foxby equivalence
论文作者
论文摘要
令R为局部环，并成为R的半虚拟化模块。我们调查了某些类别的普通cohen-macaulay r模型在Auslander和Bass类之间相当的Foxby等效性下的行为，我们特别表明，在这种等价中，在这种等价的情况下，该cohen-Macaulay r-Modules在这种等价中是一个不变的A，如果M是一定的，则A A A A A A AI属于某种性的rodial co. c \ otimes_rm是过滤式的buchsbaum，然后m也是Surefive buchsbaum。
Let R be a local ring and C a semidualizing module of R. We investigate the behavior of certain classes of generalized Cohen-Macaulay R-modules under the Foxby equivalence between the Auslander and Bass classes with respect to C. In particular, we show that generalized Cohen-Macaulay R-modules are invariant under this equivalence and if M is a finitely generated R-module in the Auslander class with respect to C such that C\otimes_RM is surjective Buchsbaum, then M is also surjective Buchsbaum.
