\(\aleph_0\)-categoricity for rings without nilpotent elements and for Boolean structures

DOI10.1016/0021-8693(76)90148-4zbMath0346.02031OpenAlexW1984223219MaRDI QIDQ1233438

Joseph G. Rosenstein, Angus J. Macintyre

Publication date: 1976

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90148-4

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Categoricity and completeness of theories (03C35)

Related Items (17)

\(\aleph _ 0\)-categoricity in infra primal varieties ⋮ On Vaught’s Conjecture and finitely valued MV algebras ⋮ Unnamed Item ⋮ Théories d'algèbres de Boole munies d'idéaux distingués. II ⋮ On \(\aleph_0\)-categoricity of filtered Boolean extensions ⋮ Stone space partitions indexed by a poset ⋮ On \(\aleph_0\)-categorical nilrings ⋮ QE rings in characteristic pⁿ ⋮ \(\aleph_0\)-categoricity and stability of rings ⋮ Preservation theorems for limits of structures and global sections of sheaves of structures ⋮ Stability theory and Algebra ⋮ Totally categorical groups and rings ⋮ On ℵ₀-categorical nilrings. II ⋮ On the structure of \(\aleph_0\)-categorical groups ⋮ On the size of congruence lattices for models of theories with definability of congruences ⋮ Algebraic \(K\)-theory of special groups ⋮ On the preservation of elementary equivalence and embedding by bounded filtered powers and structures of stable continuous functions

Cites Work

• \(\aleph_0\)-categoricity of groups
• Model Companions for ℵ 0 -Categorical Theories
• On formulas of one variable in intuitionistic propositional calculus
• Model-completeness for sheaves of structures
• Omitting types of prenex formulas
• $ℵ_0$-categoricity of linear orderings
• Decidability of Second-Order Theories and Automata on Infinite Trees
• Subrings of Direct Sums
• Topological Representation of Algebras
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