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Soinbhe Nic Dhonncha (Manchester University)

Category
Models and Sets Seminar
Date
Date
Wednesday 8 March 2023, 2.00 PM
Location
MALL 1

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.