Flat or open implies going down

DE Dobbs, IJ Papick - Proceedings of the American Mathematical Society, 1977 - ams.org
Let R, T be commutative rings with identity, and $ f: R\to T $ a unital ring homomorphism. We
give an elementary, unified proof of the fact that f has the going down property, if T is flat as …

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FOROIG DOWN - AMERICAN MATHEMATICAL SOCIETY, 1977 - community.ams.org
Let R, T be commutative rings with identity, and/: R-* T a unital ring homomorphism. We give
an elementary, unified proof of the fact that/has the going down property, if T is flat as an R …