Definition
Let M be a (left or right) module over some ring R. Given a chain of submodules of M of the form
we say that n is the length of the chain. The length of M is defined to be the largest length of any of its chains. If no such largest length exists, we say that M has infinite length.
A ring R is said to have finite length as a ring if it has finite length as left R module.
Read more about this topic: Length Of A Module
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“Was man made stupid to see his own stupidity?
Is God by definition indifferent, beyond us all?
Is the eternal truth man’s fighting soul
Wherein the Beast ravens in its own avidity?”
—Richard Eberhart (b. 1904)
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—Adrienne Rich (b. 1929)