Categoricity and stability of commutative rings

DOI10.1016/0003-4843(76)90017-6zbMath0326.02041OpenAlexW1977787444MaRDI QIDQ4090323

J. Reineke, Gregory L. Cherlin

Publication date: 1976

Published in: Annals of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4843(76)90017-6

Mathematics Subject Classification ID

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

Related Items (15)

Regular separably closed rings ⋮ Dp-minimal integral domains ⋮ \(\omega\)-stable structures of small CB-rank ⋮ Linear representations of soluble groups of finite Morley rank ⋮ Rings which admit elimination of quantifiers ⋮ \(\aleph_0\)-categoricity and stability of rings ⋮ The ℵ₁-categoricity of strictly upper triangular matrix rings over algebraically closed fields ⋮ Stability theory and Algebra ⋮ Totally categorical groups and rings ⋮ On the linearity of torsion-free nilpotent groups of finite Morley rank ⋮ The theory of models of bilinear mappings ⋮ ω-STABILITY AND MORLEY RANK OF BILINEAR MAPS, RINGS AND NILPOTENT GROUPS ⋮ Valued fields, metastable groups ⋮ On Solvable Groups of Finite Morley Rank ⋮ On stable torsion-free nilpotent groups

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