In abstract algebra and multilinear algebra, a multilinear form on a vector space V {\displaystyle V} over a field K {\displaystyle K} is a map f : V k → K {\displaystyle f\colon V^{k}\to K} that is separately K {\displaystyle K} -linear in each of its k {\displaystyle k} arguments. More generally, one can define multilinear forms on a module over a commutative ring.
In abstract algebra and multilinear algebra, a multilinear form on a vector space V {\displaystyle V} over a field K {\displaystyle K} is a map f : V k → K {\displaystyle f\colon V^{k}\to K} that is separately K {\displaystyle K} -linear in each of its k {\displaystyle k} arguments. More generally, one can define multilinear forms on a module over a commutative ring.
Source: Wikipedia "Multilinear form" · CC BY-SA 4.0
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