Category:Definitions/Bilinear Forms (Linear Algebra)

This category contains definitions related to bilinear forms in the context of linear algebra.
Related results can be found in Category:Bilinear Forms (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 $B : M_R \times M_R \to R_R$.