3 citations · 3 across the 1 of their papers we have counts for
7 papers
Correspondence theorems for Hopf algebroids with applications to affine groupoids
Laiachi El Kaoutit, Aryan Ghobadi, Paolo Saracco +1
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 con…
The Hopf algebroid structure of differentially recursive sequences
Laiachi El Kaoutit, Paolo Saracco
A differentially recursive sequence over a differential field is a sequence of elements satisfying a homogeneous differential equation with non-constant coefficients (namely, Taylo…
On Burnside Theory for groupoids
Laiachi El Kaoutit, Leonardo Spinosa
We explore the concept of conjugation between subgroupoids, providing several characterizations of the conjugacy relation (Theorem A in §1.2). We show that two finite groupoid-sets…
Mackey formula for bisets over groupoids
Laiachi El Kaoutit, Leonardo Spinosa
In this paper we establish the Mackey formula for groupoids, extending the well known formula in abstract groups context. This formula involves the notion of groupoid-biset, its or…
Comparing topologies on linearly recursive sequences
Laiachi El Kaoutit, Paolo Saracco
The space of linearly recursive sequences of complex numbers admits two distinguished topologies. Namely, the adic topology induced by the ideal of those sequences whose first term…
Topological tensor product of bimodules, complete Hopf Algebroids and convolution algebras
Laiachi El Kaoutit, Paolo Saracco
Given a finitely generated and projective Lie-Rinehart algebra, we show that there is a continuous homomorphism of complete commutative Hopf algebroids between the completion of th…