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algebra > commutative algebra > commutative ring > Kähler differential
topology > algebraic topology > cohomology > Kähler differential
algebra > differential algebra > Kähler differential
geometry > differential geometry > differential form > Kähler differential

Preferred term

Kähler differential  

Definition(s)

  • 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.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/K%C3%A4hler_differential)

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