Maranda’s theorem for pure-injective modules and duality

DOI10.4153/S0008414X22000098WikidataQ113692059 ScholiaQ113692059MaRDI QIDQ5883700

Lorna Gregory

Publication date: 22 March 2023

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.07802

zbMATH Keywords

Ziegler spectrumpure-injectiveorder over a Dedekind domain

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Model-theoretic algebra (03C60) Applications of model theory (03C98) Lattices over orders (16H20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The torsion-free part of the Ziegler spectrum of the Klein four group
• On infinite rank integral representations of groups and orders of finite lattice type.
• Model theory of modules
• The Krull-Gabriel dimension of the representation theory of a tame hereditary Artin algebra and applications to the structure of exact sequences
• Exactly definable categories
• The endomorphism ring of a localized coherent functor
• Interpreting modules in modules
• Construction of Auslander-Reiten quivers for a class of group rings
• Lattices over orders. II
• Definable additive categories: purity and model theory
• Classifying generalized lattices: some examples as an introduction
• Almost split sequences for integral group rings and orders
• Elementary Duality of Modules
• Generic Modules Over Artin Algebras
• The torsionfree part of the Ziegler spectrum of RG when R is a Dedekind domain and G is a finite group
• The torsion‐free part of the Ziegler spectrum of orders over Dedekind domains
• Large lattices over orders
• On -Adic Integral Representations of Finite Groups