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On Infinite Direct Products of Copies of a Dedekind Domain

✍ Scribed by John D. O'Neill

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
220 KB
Volume
192
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let be an infinite cardinal number and let R be the direct product of copies of a Dedekind domain R which is not a field or a complete discrete valuation ring. If R equals A [ B as an R-module, then A ( R or B ( R . If < < -, the lease measurable cardinal number, or R -s , then any direct summand of R is isomorphic to a direct product of ideals in R. An infinite direct product of nonzero ideals in R is isomorphic to R ␣ for some infinite ␣. ᮊ 1997

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