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An integral domain R is a Dedekind domain if and only if the localization of R at its prime ideal is a discrete valuation ring. This characterization will be used to proof that if R is a Dedekind domain and f generates a prime ideal of R[X] which is not maximal, then the domain R[X]= {f} is Dedekind...
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id-itb.:124042017-09-27T14:41:46Z#TITLE_ALTERNATIVE# RIANTI HELMI (NIM 20107012), MONIKA Indonesia Theses INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/12404 An integral domain R is a Dedekind domain if and only if the localization of R at its prime ideal is a discrete valuation ring. This characterization will be used to proof that if R is a Dedekind domain and f generates a prime ideal of R[X] which is not maximal, then the domain R[X]= {f} is Dedekind if and only f is not contained in the square of any maximal ideal of R[X]. In this work we give a proof af the above theorem. text |
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An integral domain R is a Dedekind domain if and only if the localization of R at its prime ideal is a discrete valuation ring. This characterization will be used to proof that if R is a Dedekind domain and f generates a prime ideal of R[X] which is not maximal, then the domain R[X]= {f} is Dedekind if and only f is not contained in the square of any maximal ideal of R[X]. In this work we give a proof af the above theorem. |
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Theses |
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RIANTI HELMI (NIM 20107012), MONIKA |
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RIANTI HELMI (NIM 20107012), MONIKA #TITLE_ALTERNATIVE# |
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RIANTI HELMI (NIM 20107012), MONIKA |
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RIANTI HELMI (NIM 20107012), MONIKA |
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https://digilib.itb.ac.id/gdl/view/12404 |
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