I was wondering if there is a generalization of this theorem from finite numbers to cardinal numbers.

More specifically, let be a field and , be vector-spaces over .

Let the dimension of .

Let be a linear transformation then is ?

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- May 18th 2008, 10:56 AMThePerfectHackerGeneralized Rank Nullity Theorem
I was wondering if there is a generalization of this theorem from finite numbers to cardinal numbers.

More specifically, let be a field and , be vector-spaces over .

Let the dimension of .

Let be a linear transformation then is ? - May 18th 2008, 01:18 PMNonCommAlg