10 citations · 45 across the 16 of their papers we have counts for
12 papers · 1 filter
Tensor and direct extension of definable subcategories
Mike Prest
Definable subcategories may be extended along a ring homomorphism directly, by using their defining conditions in the new module category, or by tensoring up with the new ring. We…
Model theory in compactly generated (tensor-)triangulated categories
Mike Prest, Rose Wagstaffe
We give an account of model theory in the context of compactly generated triangulated and tensor-triangulated categories . We describe pp formulas, pp-types and free real…
Strictly atomic modules in definable categories
Mike Prest
If is a definable category then it may contain no nonzero finitely presented modules but, by a result of Makkai, there is a -generating set of strictly ${\ca…
Multisorted modules and their model theory
Mike Prest
Multisorted modules, equivalently representations of quivers, equivalently additive functors on preadditive categories, encompass a wide variety of additive structures. In addition…
Modules as exact functors
Mike Prest
We can define a module to be an exact functor on a small abelian category. This is explained and shown to be equivalent to the usual definition but it does offer a different perspe…
The Ziegler spectrum for derived-discrete algebras
Kristin Krogh Arnesen, Rosanna Laking, David Pauksztello +1
Let be a derived-discrete algebra. We show that the Krull-Gabriel dimension of the homotopy category of projective -modules, and therefore the Cantor-Bendixson rank of its Z…