Definition:Bilinear Form (Linear Algebra)/Also known as

Bilinear Form: Also known as

It is usual to gloss over the modular nature of $R_R$ and consider $B$ merely as a mapping from the $R$-module $M$ directly to the ring $R$:

Hence in this manner, a bilinear form on $M$ is defined as a bilinear mapping $B : M \times M \to R$.

Sources

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