Free Monoid in Monoidal Abelian Categories
by Vallette, Bruno
We give an explicit construction of the free monoid in monoidal abelian categories when the monoidal product does not necessarily preserve coproducts. Then we apply it to several new monoidal categories that appeared recently in the theory of Koszul duality for operads and props. This gives a conceptual explanation of the form of the free operad, free dioperad and free properad.
DOI: 10.1007/s10485-008-9130-y
Online Date: 3/7/2008
Print publication date: 2/1/2009
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