Is the Tensor Product Associative?

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huyichen
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It is a well fact that tensor product is associative up to isomorphism, but how should I use Universal property(you know, diagrams that commute) to show that it is true?
 

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Physics news on Phys.org
http://www.math.uga.edu/%7Eroy/845-3.pdf

especially page 31
 
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Show that both (U\otimes V)\otimes W and U\otimes (V\otimes W) both satisfy the universal property. By general nonsense they are then isomorphisc.
 

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