Definition:Bilinear Form

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Bilinear Form may refer to:

Bilinear Form (Linear Algebra)

Let $R$ be a ring.

Let $R_R$ denote the $R$-module $R$.

Let $M_R$ be an $R$-module.

A bilinear form on $M_R$ is a bilinear mapping $B : M_R \times M_R \to R_R$.

Bilinear Form (Polynomial Theory)

A bilinear form is a linear form of order $2$.