Soinbhe Nic Dhonncha (Manchester University)
- Date
- Wednesday 8 March 2023, 2.00 PM
- Location
- MALL 1
- Category
- Models and Sets Seminar
Purity in chains of modules
The model theory of modules extends naturally to certain functor categories. One such category is that of representations of the biinfinite quiver $A_{\infty}^{\infty}$, where each object can be thought of as a biinfinite chain of $R$-modules. This raises the question of how the objects and morphisms of (model theoretic) interest for this category relate to those of $\operatorname{Mod}\ R$. In the simplest case, we take $R$ to be von Neumann regular.