Characterizing categoricity in several classes of modules

DOI10.1016/j.jalgebra.2022.10.031OpenAlexW4309199547MaRDI QIDQ2109059

Marcos Mazari-Armida

Publication date: 20 December 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.07900

zbMATH Keywords

semisimple modulesflat modulescategoricityabstract elementary classesstrongly indecomposable modulesabsolutely pure modulesMorley's categoricity theoremShelah's categoricity conjecture

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Noncommutative local and semilocal rings, perfect rings (16L30) Applications of logic to commutative algebra (13L05) Classification theory, stability, and related concepts in model theory (03C45) Noetherian rings and modules (associative rings and algebras) (16P40) Applications of logic in associative algebras (16B70) Categoricity and completeness of theories (03C35)

Related Items (1)

Categoricity for transfinite extensions of modules

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