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PDF-2KEITHCONRADTheorem1.4.InanycommutativeringA,anidealpisprimeifandonlyi PDF document

daConverselyifaOKisanonzeroidealandd2OKf0gthen1 daisanOKmoduleinKwithcommondenominatordso1 daisafractionalidealExample22SinceZisaPIDthefractionalidealsinQaresubgroupsZsubmodulesofQhavingt

da.Conversely ifaOKisanonzeroidealandd2OKf0gthen1 daisanOK-moduleinKwithcommondenominatord so1 daisafractionalideal.Example2.2.SinceZisaPID thefractionalidealsinQaresubgroups(Z-submodules)ofQhavingt

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2KEITHCONRADTheorem1.4.InanycommutativeringA,anidealpisprimeifandonlyi: Transcript

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