论文标题
有限的noetherian戒指上有限的自由配合物的尺寸
Dimension of finite free complexes over commutative Noetherian rings
论文作者
论文摘要
福克斯（Foxby）根据其同源模块的维度定义了一个模块复合体的（Krull）维度。在此注释中，证明有限等级的自由模块的有界复合物可以直接从代表复合物的差异的矩阵中计算出来。
Foxby defined the (Krull) dimension of a complex of modules over a commutative Noetherian ring in terms of the dimension of its homology modules. In this note it is proved that the dimension of a bounded complex of free modules of finite rank can be computed directly from the matrices representing the differentials of the complex.
