Four concepts from “geometrical” stability theory in modules

DOI10.2307/2275303zbMath0772.03016OpenAlexW1990417074MaRDI QIDQ4032654

Thomas Kucera, M. Y. Prest

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.2307/2275303

zbMATH Keywords

modulesgeometric stability theory\(p\)-internal\(p\)-simpleAbelian structureshereditary orthogonality

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Classification theory, stability, and related concepts in model theory (03C45)

Related Items

The model theory of unitriangular groups, The regular hierarchy in modules, Decidable representations, On right pure semisimple hereditary rings and an Artin problem, Interpreting modules in modules, An undecidability theorem for lattices over group rings, Representation embeddings and the Ziegler spectrum, Imaginary modules, Pure-injective modules over path algebras, Modules with few types, The nonstandard quantum plane, Direct sums and direct products of finite-dimensional modules over path algebras, Abelian \(p\)-groups with no invariants, Definable additive categories: purity and model theory, Some model theory over hereditary Noetherian domains, Model theory of modules over a serial ring, Linear ultrafilters, Extensions of elementary duality

Cites Work

• The indecomposable representations of the dihedral 2-groups
• STATIONARY TYPES IN MODULESS
• Kueker's conjecture for stable theories
• The generalised RK-order, orthogonality and regular types for modules
• Krull dimension