For any R–homomorphism ϕ: M → N we define its cokernel by Coker ϕ = N/ Imϕ. Establish an exact sequence: O → Ker ϕ −a→ M --ϕ−→ N--β−→ Coker ϕ → O .
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Originally Posted by peteryellow For any R–homomorphism we define its cokernel by Establish an exact sequence: . they're defined very naturally: and for all and see that is an injective and is a surjective homomorphism. also and so the sequence is exact.
Last edited by NonCommAlg; Feb 5th 2009 at 03:53 PM.
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