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ℵ-products of modules and splitness.

Feng Lianggui — 2002

Publicacions Matemàtiques

Let 0 → ∏^ℵ _I M_α ⎯^λ→ ∏_I M_α ⎯^γ→ Coker λ → 0 be an exact sequence of modules, in which ℵ is an infinite cardinal, λ the natural injection and γ the natural surjection. In this paper, the conditions are given mainly in the four theorems so that λ (γ respectively) is split or locally split. Consequently,...

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