Abstract
We show that if the direct product of countably many copies of a noetherian ring R is pure in a direct sum of finitely generated modules, then R satisfies the descending chain condition on two-sided ideals. This extends a recent result of Buchweitz and Flenner.
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Laradji, A. Projectivity of Countable Direct Products. Algebr Represent Theor 13, 719–722 (2010). https://doi.org/10.1007/s10468-009-9171-4
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DOI: https://doi.org/10.1007/s10468-009-9171-4