# commutative monoids have binary products? [closed]

Does the category CMonoid of commutative monoids have binary products?

thanks

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## closed as too localized by Pete L. Clark, Yemon Choi, Gjergji Zaimi, Chris Schommer-Pries, Harry GindiMar 13 '10 at 1:43

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My immediate response is: yes; take, the Cartesian product. Am I missing some subtlety here? –  Pete L. Clark Mar 13 '10 at 0:41
Closed. Reason: Wikipedia. –  Harry Gindi Mar 13 '10 at 1:43

## 1 Answer

Yes, and in fact all products exist: take the usual Cartesian product, with coordinatewise monoid operation.

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