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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- Feb 5th 2009, 01:53 PMpeteryellowModules
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 . - Feb 5th 2009, 04:23 PMNonCommAlg