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並前往http://www.auburn.edu/~huanghu/math7310/1-8.pdf

1.8 Direct Products and Direct Sums

Proof. Define ϕ : H → ∏i∈I Gi by h ↦→ {ϕi(h)}i∈I. Then ϕ is well-defined and for h, h ∈ H: ... wGi is called the (external) direct sum and is denoted.

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