Kähler differential

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

Wikidata entity: Q1609490

P2534	defining formula	Math	$\begin{aligned} Ω_{S / R} & = (\ker ϕ) / (\ker ϕ)^{2} \\ ϕ : S \otimes_{R} S & \to S \\ \sum_{i} s_{i} \otimes t_{i} & \mapsto \sum_{i} s_{i} t_{i} \end{aligned}$	???
P7235	in defining formula	Math	$R$	???
P7235	in defining formula	Math	$S$	???
P7235	in defining formula	Math	$\ker$	???
P7235	in defining formula	Math	$Ω_{S / R}$	???
P7235	in defining formula	Math	$\otimes_{R}$	???
P31	instance of	...	Q24034552 (mathematical concept)	mathematical concept
P6104	maintained by WikiProject	...	Q8487137 (WikiProject Mathematics)	WikiProject Mathematics
P138	named after	...	Q65199 (Erich Kähler)	Erich Kähler
P2579	studied by	...	Q114705626 (theory of Kähler differentials)	theory of Kähler differentials
P2579	studied by	...	Q727659 (commutative algebra)	commutative algebra
P2579	studied by	...	Q180969 (algebraic geometry)	algebraic geometry
P279	subclass of	...	Q18199114 (algebraic construction)	algebraic construction

External Ids

P646	Freebase ID	/m/02vmrl
P6366	Microsoft Academic ID (discontinued)	87563457
P4215	nLab ID	Kähler differential

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