module of finite rank
Let be a module, and let be the injective hull of . Then we say that has if is a finite direct sum of indecomposable submodules.
This turns out to be equivalent to the property that has no infinite direct sums of nonzero submodules.
Title | module of finite rank |
---|---|
Canonical name | ModuleOfFiniteRank |
Date of creation | 2013-03-22 12:03:24 |
Last modified on | 2013-03-22 12:03:24 |
Owner | antizeus (11) |
Last modified by | antizeus (11) |
Numerical id | 8 |
Author | antizeus (11) |
Entry type | Definition |
Classification | msc 16D80 |