Uniform Dimension and Injective Modules
An R module M has finite uniform dimension (=finite rank) n if and only if the injective hull of M is a finite direct sum of n indecomposable submodules.
Read more about this topic: Injective Hull
Famous quotes containing the words uniform and/or dimension:
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—Lawrence Kutner (20th century)
“God cannot be seen: he is too bright for sight; nor grasped: he is too pure for touch; nor measured: for he is beyond all sense, infinite, measureless, his dimension known to himself alone.”
—Marcus Minucius Felix (2nd or 3rd cen. A.D.)
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