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KConrad
KConrad
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ifIf R beis a discrete valuation ring and M bais an R-module such that the annihilator of M isn't zero , then every pure submodule of M is a direct sumsummand. you You can see some resultresults about the question in thisthe book " Modules"Modules over discrete valuation ring"Discrete Valuation Rings" by Krylov and Tuganbaev.

if R be a discrete valuation ring and M ba an R-module such that the annihilator of M isn't zero , then every pure submodule of M is a direct sum. you can see some result about the question in this book " Modules over discrete valuation ring".

If R is a discrete valuation ring and M is an R-module such that the annihilator of M isn't zero , then every pure submodule of M is a direct summand. You can see some results about the question in the book "Modules over Discrete Valuation Rings" by Krylov and Tuganbaev.

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elham
elham
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if R be a discrete valuation ring and M ba an R-module such that the annihilator of M isn't zero , then every pure submodule of M is a direct sum. you can see some result about the question in this book " Modules over discrete valuation ring".