this post was submitted on 10 Dec 2025
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yeah, top-left is regular multiplication. Top-center actjally is the so-called alternating product (basically the correct way of defining the cross product).
Top-right is supposed to be the operation in a gtoup.
There's no explicit cartesian product here but the middle one is the tensor product. The tensor prodict of sets (in so far as that statement makes sense) is the cartesian product.
:)