About: Kähler differential

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In mathematics, Kähler differentials provide an adaptation of differential forms to arbitrary commutative rings or schemes. The notion was introduced by Erich Kähler in the 1930s. It was adopted as standard in commutative algebra and algebraic geometry somewhat later, once the need was felt to adapt methods from calculus and geometry over the complex numbers to contexts where such methods are not available.

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  • Der Begriff des Kähler-Differentials (nach E. Kähler) ist eine algebraische Abstraktion der Leibnizregel aus dem mathematischen Teilgebiet der Differentialrechnung. Dieser Artikel beschäftigt sich mit kommutativer Algebra. Insbesondere sind alle betrachteten Ringe kommutativ und haben ein Einselement. Für weitere Details siehe Kommutative Algebra. (de)
  • In mathematics, Kähler differentials provide an adaptation of differential forms to arbitrary commutative rings or schemes. The notion was introduced by Erich Kähler in the 1930s. It was adopted as standard in commutative algebra and algebraic geometry somewhat later, once the need was felt to adapt methods from calculus and geometry over the complex numbers to contexts where such methods are not available. (en)
  • 가환대수학과 대수기하학에서 켈러 미분(영어: Kähler differential)은 (아핀 스킴으로 여긴) 가환환 또는 일반적인 스킴 위에 대수적으로 정의할 수 있는 미분 형식의 일종이다. (ko)
  • 数学において、ケーラー微分 (Kähler differential) は微分形式の任意の可換環やスキームへの応用を提供する。 (ja)
  • Кэлеровы дифференциалы представляют собой адаптацию дифференциальных форм для произвольных коммутативных колец или схем. Это понятие было введено Эрихом Келером в 1930-х. (ru)
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  • Der Begriff des Kähler-Differentials (nach E. Kähler) ist eine algebraische Abstraktion der Leibnizregel aus dem mathematischen Teilgebiet der Differentialrechnung. Dieser Artikel beschäftigt sich mit kommutativer Algebra. Insbesondere sind alle betrachteten Ringe kommutativ und haben ein Einselement. Für weitere Details siehe Kommutative Algebra. (de)
  • In mathematics, Kähler differentials provide an adaptation of differential forms to arbitrary commutative rings or schemes. The notion was introduced by Erich Kähler in the 1930s. It was adopted as standard in commutative algebra and algebraic geometry somewhat later, once the need was felt to adapt methods from calculus and geometry over the complex numbers to contexts where such methods are not available. (en)
  • 가환대수학과 대수기하학에서 켈러 미분(영어: Kähler differential)은 (아핀 스킴으로 여긴) 가환환 또는 일반적인 스킴 위에 대수적으로 정의할 수 있는 미분 형식의 일종이다. (ko)
  • 数学において、ケーラー微分 (Kähler differential) は微分形式の任意の可換環やスキームへの応用を提供する。 (ja)
  • Кэлеровы дифференциалы представляют собой адаптацию дифференциальных форм для произвольных коммутативных колец или схем. Это понятие было введено Эрихом Келером в 1930-х. (ru)
rdfs:label
  • Kähler-Differential (de)
  • Kähler differential (en)
  • ケーラー微分 (ja)
  • 켈러 미분 (ko)
  • Кэлеров дифференциал (ru)
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