• Sivecano@lemmy.dbzer0.comOP
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    2 days ago

    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.

    :)