Injective Hull - Uniform Dimension and Injective Modules

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.

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Famous quotes containing the words uniform and/or dimension:

    The maples
    Stood uniform in buckets, and the steam
    Of sap and snow rolled off the sugarhouse.
    Robert Frost (1874–1963)

    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.)