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Prüfer domains and pure submodules of direct sums of ideals
Published online by Cambridge University Press: 26 February 2010
Abstract
It is shown that an integral domain R has the property that every pure submodule of a finite direct sum of ideals of R is a summand if and only if R is an h-local Prüfer domain; equivalently, (J + K:I) = (J:I) + (K:I) for all ideals I, J and K of R. These results are extended to submodules of the quotient field of an integral domain.
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- Copyright © University College London 1999
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