48 citations · 172 across the 35 of their papers we have counts for
6 papers · 1 filter
Towards differentiation and integration between Hopf algebroids and Lie algebroids
Alessandro Ardizzoni, Laiachi El Kaoutit, Paolo Saracco
In this paper we set up the foundations around the notions of formal differentiation and formal integration in the context of commutative Hopf algebroids and Lie-Rinehart algebras.…
On Indecomposable Ideals Over Some Algebras
Alessandro Ardizzoni, Fabio Stumbo
In this paper we investigate a family of algebras endowed with a suitable non-degenerate bilinear form that can be used to define two different notions of dual for a given right id…
Invertible Bimodules, Miyashita Action in Monoidal Categories and Azumaya Monoids
Alessandro Ardizzoni, Laiachi El Kaoutit
In this paper we introduce and study Miyashita action in the context of monoidal categories aiming by this to provide a common framework of previous studies in the literature. We m…
Categories of comodules and chain complexes of modules
A. Ardizzoni, L. El Kaoutit, C. Menini
Let $\lL(A)$ denote the coendomorphism left -bialgebroid associated to a left finitely generated and projective extension of rings with identities. We show that the ca…
Formally smooth bimodules
A. Ardizzoni, Tomasz Brzezinski, C. Menini
The notion of a formally smooth bimodule is introduced and its basic properties are analyzed. In particular it is proven that a - bimodule which is a generator left -m…
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…