(Q1609490)

English

Kähler differential

algebraically defined notion of differential form on an algebra over a ring or on a scheme

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Statements

instance of

mathematical concept

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subclass of

algebraic construction

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theory of Kähler differentials

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defining formula

{\begin{aligned}\Omega _{S/R}&=(\ker \phi )/(\ker \phi )^{2}\\\phi \colon S\otimes _{R}S&\to S\\\sum _{i}s_{i}\otimes t_{i}&\mapsto \sum _{i}s_{i}t_{i}\end{aligned}}

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in defining formula

\Omega _{S/R}

symbol represents

Kähler differential

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\ker

symbol represents

kernel

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S

symbol represents

algebra over a ring

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R

symbol represents

commutative ring

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\otimes _{R}

symbol represents

tensor product of modules

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

Freebase ID

/m/02vmrl

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Microsoft Academic ID

87563457

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nLab ID

Kähler differential

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(Q1609490)

Kähler differential

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