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Does the category CMonoid of commutative monoids have binary products?

thanks

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    $\begingroup$ My immediate response is: yes; take, the Cartesian product. Am I missing some subtlety here? $\endgroup$ Commented Mar 13, 2010 at 0:41
  • $\begingroup$ Closed. Reason: Wikipedia. $\endgroup$ Commented Mar 13, 2010 at 1:43

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

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