As an abstract elementary class

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Annals of Pure and Applied Logic 149 (1-3):25-39 (2007)
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Abstract

In this paper we study abstract elementary classes of modules. We give several characterizations of when the class of modules A with is abstract elementary class with respect to the notion that M1 is a strong submodel M2 if the quotient remains in the given class

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10.1016/j.apal.2007.06.003

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Citations of this work

Algebraic description of limit models in classes of abelian groups.Marcos Mazari-Armida - 2020 - Annals of Pure and Applied Logic 171 (1):102723.
On universal modules with pure embeddings.Thomas G. Kucera & Marcos Mazari-Armida - 2020 - Mathematical Logic Quarterly 66 (4):395-408.
Superstability, noetherian rings and pure-semisimple rings.Marcos Mazari-Armida - 2021 - Annals of Pure and Applied Logic 172 (3):102917.
Some Stable Non-Elementary Classes of Modules.Marcos Mazari-Armida - 2023 - Journal of Symbolic Logic 88 (1):93-117.
A topology for galois types in abstract elementary classes.Michael Lieberman - 2011 - Mathematical Logic Quarterly 57 (2):204-216.

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References found in this work

Galois-stability for Tame abstract elementary classes.Rami Grossberg & Monica Vandieren - 2006 - Journal of Mathematical Logic 6 (01):25-48.
Categoricity for abstract classes with amalgamation.Saharon Shelah - 1999 - Annals of Pure and Applied Logic 98 (1-3):261-294.
Independence in finitary abstract elementary classes.Tapani Hyttinen & Meeri Kesälä - 2006 - Annals of Pure and Applied Logic 143 (1-3):103-138.

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