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Homemodule of finite rank

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# module of finite rank

Let $M$ be a module, and let $E(M)$ be the injective hull of $M$. Then we say that $M$ has finite rank if $E(M)$ is a finite direct sum of indecomposable submodules.

This turns out to be equivalent to the property that $M$ has no infinite direct sums of nonzero submodules.

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## Mathematics Subject Classification

16D80*no label found*

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## Recent Activity

Jul 5

new correction: Error in proof of Proposition 2 by alex2907

Jun 24

new question: A good question by Ron Castillo

Jun 23

new question: A trascendental number. by Ron Castillo

Jun 19

new question: Banach lattice valued Bochner integrals by math ias

Jun 13

new question: young tableau and young projectors by zmth

Jun 11

new question: binomial coefficients: is this a known relation? by pfb

new correction: Error in proof of Proposition 2 by alex2907

Jun 24

new question: A good question by Ron Castillo

Jun 23

new question: A trascendental number. by Ron Castillo

Jun 19

new question: Banach lattice valued Bochner integrals by math ias

Jun 13

new question: young tableau and young projectors by zmth

Jun 11

new question: binomial coefficients: is this a known relation? by pfb