WHEN DOES A RING EXTENSION OF A GOING-DOWN DOMAIN SATISFY GOING-DOWN?

Authors : David E DOBBS

Pages : 87-94

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Publication Date : 2010-06-01

Article Type : Research Paper

Abstract :If R is a going-down domain and T is a commutative unital ring extension of R, then R ⊆ T satisfies going-down if and only if the associated reduced ring of T is a torsion-free R-module.
Keywords : going down, ring extension, integral domain, commutative ring, going down domain, locally divided domain, torsion free module, associated reduced ring, total quotient ring