On ℵ0-categorical nilrings. II

DOI10.2307/2273189zbMath0447.16003OpenAlexW2067192064MaRDI QIDQ3892373

Gregory L. Cherlin

Publication date: 1980

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2273189

zbMATH Keywords

Jacobson radicalcategorical associative ring

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Categoricity and completeness of theories (03C35) Radicals and radical properties of associative rings (16Nxx)

Related Items (5)

On \(\omega\)-categorical, generically stable groups and rings ⋮ On \(\aleph_0\)-categorical nilrings ⋮ On 𝜔-categorical groups and rings with NIP ⋮ On the structure of \(\aleph_0\)-categorical groups ⋮ \(\aleph _0\)-categoricity of semigroups

Cites Work

• \(\aleph_0\)-categoricity for rings without nilpotent elements and for Boolean structures
• \(\aleph_0\)-categoricity and stability of rings
• \(\aleph_0\)-categoricity of groups

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