\(\aleph_1\)-categorical commutative rings

DOI10.1007/BF00967207zbMath0409.03018OpenAlexW2042146044MaRDI QIDQ1258729

S. A. Chikhachëv

Publication date: 1978

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00967207

zbMATH Keywords

Categorical Commutative Rings

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Applications of logic to commutative algebra (13L05) Categoricity and completeness of theories (03C35)

Cites Work

• The first order properties of products of algebraic systems
• On $ω_1$-categorical theories of fields
• On $ω_1$-categorical theories of abelian groups
• A property of stable theories
• On the Structure and Ideal Theory of Complete Local Rings

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