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 |