Free monoid in monoidal abelian categories
Bruno Vallette
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.
Create a lesson
Related papers
Cocompactness and Presentability
Thorger Geiß, Phil Pützstück, Maxime Ramzi
Gabriel--Zisman Localizations, Products, Coproducts, and Product Categories
Chencheng Zhang
An abelian envelope without the quotient property
Johannes Flake, Jonathan Gruber, Thorsten Heidersdorf
On Models of the Planar Lambda Calculus
Chad Nester
Mixing Extriangulated Model Structures
Junpeng Ren, Xianhui Fu
Grothendieck Topologies Are Extensional Presentations of the Form of Sieves
Roy Ferguson, Zurab Janelidze