We construct new examples of left bialgebroids and Hopf algebroids, arising from
noncommutative geometry. Given a first order differential calculus $\Omega $ on an algebra …

We provide a correspondence between one-sided coideal subrings and one-sided ideal two-
sided coideals in an arbitrary bialgebroid. We prove that, under some expected additional …

On anchored Lie algebras and the Connes–Moscovici bialgebroid construction Page 1 J.
Noncommut. Geom. 16 (2022), 1007–1053 DOI 10.4171/JNCG/475 © 2022 European …

We prove how the universal enveloping algebra constructions for Lie–Rinehart algebras
and anchored Lie algebras are naturally left adjoint functors. This provides a conceptual …

Grothendieck-Verdier duality is a powerful and ubiquitous structure on monoidal categories,
which generalises the notion of rigidity. Hopf algebroids are a generalisation of Hopf …

Grothendieck-Verdier duality is a powerful and ubiquitous structure on monoidal categories,
which generalises the notion of rigidity. Hopf algebroids are a generalisation of Hopf …

A differentially recursive sequence over a differential field is a sequence of elements
satisfying a homogeneous differential equation with non-constant coefficients (namely …

In this paper we investigate the formal notions of differentiation and integration in the context
of commutative Hopf algebroids and Lie algebroid, or more precisely Lie-Rinehart algebras …

Lie algebroids, groupoids and Hopf algebroids: A brief introduction. Page 1 Lie algebroids,
groupoids and Hopf algebroids: A brief introduction. Laiachi El Kaoutit Universidad de …

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 …