Definition 59.61.3. Two finite central simple algebras $A_1$ and $A_2$ over $K$ are called *similar*, or *equivalent* if there exist $m, n \geq 1$ such that $\text{Mat}(n \times n, A_1) \cong \text{Mat}(m \times m, A_2)$. We write $A_1 \sim A_2$.

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