How to simplify notation for the Kronecker product of multiple matrices?

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I would like to know if I can simplify notation for the Kronecker product of multiple matrices:

$$A = A_1 \otimes A_2 \otimes \cdots \otimes A_n$$

For example, I could use a product sign such as:

$$A = \otimes\prod_{i=1}^n A_i$$

However, I am not sure if this is the standard way of doing it?