47 citations · 201 across the 22 of their papers we have counts for
3 papers · 1 filter
Implementing the biset category of finite groups
Mohamed Barakat, Marc Talleux, Fabian Zickgraf
We describe an implementation of the biset category of finite groups as a tower of standard categorical constructions, all of which are implemented in the software project CAP for…
Characterizing Serre quotients with no section functor and applications to coherent sheaves
Mohamed Barakat, Markus Lange-Hegermann
We prove an analogon of the the fundamental homomorphism theorem for certain classes of exact and essentially surjective functors of Abelian categories $\mathscr{Q}:\mathcal{A} \to…
On monads of exact reflective localizations of Abelian categories
Mohamed Barakat, Markus Lange-Hegermann
In this paper we define Gabriel monads as the idempotent monads associated to exact reflective localizations in Abelian categories and characterize them by a simple set of properti…