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Free monoid in monoidal abelian categories

Authors
  • Vallette, Bruno
Type
Published Article
Publication Date
Apr 29, 2008
Submission Date
Nov 24, 2004
Identifiers
DOI: 10.1007/s10485-008-9130-y
arXiv ID: math/0411543
Source
arXiv
License
Unknown
External links

Abstract

We give an explicit construction of the free monoid in monoidal abelian categories when the monoidal product does not necessarily preserve coproducts. 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, free properad and free prop.

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