A note on flat modules

Ladislav Bican; Renata Binderová

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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....