Rings with \(\aleph_1\)-categorical theories

DOI10.1007/BF01463149zbMath0323.02060OpenAlexW2067684001MaRDI QIDQ1224094

B. I. Zil'ber

Publication date: 1975

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01463149

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Semirings (16Y60) Categoricity and completeness of theories (03C35) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to associative rings and algebras (16-00)

Related Items (6)

Solvable groups of finite Morley rank ⋮ Infinite groups ⋮ Associative rings ⋮ The ℵ₁-categoricity of strictly upper triangular matrix rings over algebraically closed fields ⋮ CANONICAL MODELS FOR FRAGMENTS OF THE AXIOM OF CHOICE ⋮ ω-STABILITY AND MORLEY RANK OF BILINEAR MAPS, RINGS AND NILPOTENT GROUPS

Cites Work

• Unnamed Item
• The first order properties of products of algebraic systems
• On $ω_1$-categorical theories of fields
• Sums of Distinct Divisors and Sums of Distinct Units

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