Discrete valuation ring
In abstract algebra, a discrete valuation ring (DVR) is a principal ideal domain (PID) with exactly one non-zero maximal ideal. This means a DVR is an integral domain R which satisfies any one of the following equivalent conditions:
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Discrete valuation ring
In abstract algebra, a discrete valuation ring (DVR) is a principal ideal domain (PID) with exactly one non-zero maximal ideal. This means a DVR is an integral domain R which satisfies any one of the following equivalent conditions:
has abstract
En mathématiques, plus précisé ...... ulier les anneaux de Dedekind.
@fr
Im mathematischen Teilgebiet d ...... besonders guten Eigenschaften.
@de
In abstract algebra, a discret ...... that R = {0} {x K : ν(x) ≥ 0}.
@en
In algebra, un anello di valut ...... e il cui gruppo dei valori è .
@it
Кольцо дискретного нормировани ...... нтов с неотрицательной нормой.
@ru
Кільце дискретного нормування ...... лементів з невід'ємною нормою.
@uk
抽象代数学において、離散付値環（りさんふちかん、英: dis ...... : x ∈ K, ν(x) ≥ 0} となるものが存在する。
@ja
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En mathématiques, plus précisé ...... ulier les anneaux de Dedekind.
@fr
Im mathematischen Teilgebiet d ...... besonders guten Eigenschaften.
@de
In abstract algebra, a discret ...... llowing equivalent conditions:
@en
In algebra, un anello di valut ...... zione discreta sono gli anelli
@it
Кольцо дискретного нормировани ...... ующих (эквивалентных) условий:
@ru
Кільце дискретного нормування ...... лементів з невід'ємною нормою.
@uk
抽象代数学において、離散付値環（りさんふちかん、英: dis ...... : x ∈ K, ν(x) ≥ 0} となるものが存在する。
@ja
label
Anello a valutazione discreta
@it
Anneau de valuation discrète
@fr
Discrete valuation ring
@en
Diskreter Bewertungsring
@de
Кольцо дискретного нормирования
@ru
Кільце дискретного нормування
@uk
離散付値環
@ja
이산 값매김환
@ko