2005/07/22 | 分次模[Graded Module]
类别(∑〖数学〗) | 评论(0) | 阅读(30) | 发表于 20:18
A decomposition of a module into a direct sum of submodules. The index set for the collection of submodules is then called the grading set.

Graded modules arise naturally in homology. In particular, for every integer , there exists an th homology group of a space , and usually the "total homology" of the space is considered to be the direct sum of all the s. This makes the "total" homology of a module graded over the integers.

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