Modules and Infinitary Logics

zbMATH Open1274.03063arXiv1011.3581MaRDI QIDQ3144562

S. Shelah

Publication date: 8 December 2012

Abstract: We prove that the theory of abelian groups and R-modules even in infinitary logic is stable and understood to some extent.

Full work available at URL: https://arxiv.org/abs/1011.3581

zbMATH Keywords

stabilityelimination of quantifiersinfinitary logicsmodel theory of modules

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45) Other infinitary logic (03C75) Quantifier elimination, model completeness, and related topics (03C10) Applications of logic in associative algebras (16B70)

Related Items (3)

On congruence modularity in varieties of logic. ⋮ Title not available (Why is that?) ⋮ On the existence of uncountable Hopfian and co-Hopfian abelian groups

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