# Definition:Ring of Square Matrices/Notation

$\struct {\map {\mathcal M_R} n, +, \times}$
we must have some symbol to represent it, and $\times$ does as well as any.
However, we do not use $\mathbf A \times \mathbf B$ for matrix multiplication $\mathbf A \mathbf B$, as it is understood to mean the vector cross product, which is something completely different.