3 papers
math.RT2024
Interpretation functors which are full on pure-injective modules with applications to -torsion-free modules over -orders
Lorna Gregory
Let be rings, - a covariantly finite subcategory, the smallest definable subcategory of - containing $\mathca…
math.AC2022
Dimensions on Lattice Ordered Abelian Groups and Model Theory of Modules over Prüfer Domains
Lorna Gregory
We prove a transfer theorem which, when combined with the Jaffard-Kaplansky-Ohm Theorem, allows results in model theory of modules over Bézout domains to be translated into results…
math.LO2018
The torsionfree part of the Ziegler spectrum of orders over Dedekind domains
Lorna Gregory, Sonia L'Innocente, Carlo Toffalori
We study the R-torsionfree part of the Ziegler spectrum of an order Λover a Dedekind domain R. We underline and comment on the role of lattices over Λ. We describe the torsionfree…