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Sep
19
awarded  Nice Question
Nov
30
awarded  Scholar
Nov
30
accepted When does $V = \ker(f) \oplus \operatorname{im}(f)$?
Nov
30
awarded  Editor
Nov
30
comment When does $V = \ker(f) \oplus \operatorname{im}(f)$?
Thanks! I was only concerned about the finite dimensional case anyway, I just forgot to mention it.
Nov
30
revised When does $V = \ker(f) \oplus \operatorname{im}(f)$?
added 40 characters in body
Nov
30
comment When does $V = \ker(f) \oplus \operatorname{im}(f)$?
@joriki: Equality. I haven't heard the term internal direct sum before, but based on the definition on Wikipedia, I think that's what I'm referring to, since $\ker(f)$ and $\operatorname{im}(f)$ are subspaces of $V$.
Nov
30
awarded  Student
Nov
30
asked When does $V = \ker(f) \oplus \operatorname{im}(f)$?