10 citations · 45 across the 16 of their papers we have counts for
19 papers
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…
Purity in categories of sheaves
Alexander Slavik, Mike Prest
We consider categorical and geometric purity for sheaves of modules over a scheme satisfying some mild conditions, both for the category of all sheaves and for the category of quas…
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…
Tensor structure for Nori motives
Luca Barbieri-Viale, Annette Huber, Mike Prest
We construct a tensor product on Freyd's universal abelian category attached to an additive tensor category or a tensor quiver and establish a universal property. This is used to g…