29 citations · 34 across the 5 of their papers we have counts for
6 papers
Quadratic Lie Algebras
Alessandro Ardizzoni, Fabio Stumbo
In this paper, the notion of universal enveloping algebra introduced in [A. Ardizzoni, \emph{A First Sight Towards Primitively Generated Connected Braided Bialgebras}, submitted. (…
A First Sight Towards Primitively Generated Connected Braided Bialgebras
A. Ardizzoni
The main aim of this paper is to investigate the structure of primitively generated connected braided bialgebras with respect to the braided vector space consisting of thei…
A Milnor-Moore Type Theorem for Braided Bialgebras
A. Ardizzoni, C. Menini, D. Stefan
The paper is devoted to prove a version of Milnor-Moore Theorem for connected braided bialgebras that are infinitesimally cocommutative. Namely in characteristic different from 2,…
The Heyneman-Radford Theorem for Monoidal Categories
A. Ardizzoni
We prove Heyneman-Radford Theorem in the framework of Monoidal Categories.
Naturally full functors in nature
A. Ardizzoni, S. Caenepeel, C. Menini +1
We introduce and discuss the notion of naturally full functor. The definition is similar to the definition of separable functor: a naturally full functor is a functorial version of…
Hochschild Cohomology of Algebras in Monoidal Categories and Splitting Morphisms of Bialgebras
A. Ardizzoni, C. Menini, D. Stefan
The main goal of this paper is to investigate the structure of Hopf algebras with the property that either its Jacobson radical is a Hopf ideal or its coradical is a subalgebra. In…