Frobenius algebras and ambidextrous adjunctions.
Frobenius objects in cartesian bicategories.
From cubical to globular higher categories
From left modules to algebras over an operad: application to combinatorial Hopf algebras
The purpose of this paper is two fold: we study the behaviour of the forgetful functor from -modules to graded vector spaces in the context of algebras over an operad and derive the construction of combinatorial Hopf algebras. As a byproduct we obtain freeness and cofreeness results for those Hopf algebras.Let denote the forgetful functor from -modules to graded vector spaces. Left modules over an operad are treated as -algebras in the category of -modules. We generalize the results obtained...
From where do figurative algebras come ?
Functorial polymorphism and semantic parametricity
Fundamental groupoids of -graphs.
Fuzzy mappings and fuzzy sets