Definition:Ring of Square Matrices/Notation

Notation for Ring of Square Matrices
When referring to the operation of matrix multiplication in the context of the ring of square matrices:
 * $\struct {\map {\MM_R} n, +, \times}$

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.