Modules with few types

DOI10.1016/0021-8693(92)90022-EzbMath0768.03017MaRDI QIDQ1194042

Ivo Herzog

Publication date: 27 September 1992

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

zbMATH Keywords

indecomposable modulesannihilator idealprimary decompositiondirect sumtotally transcendentalleft \(R\)-modulespure-injective hull of a typeregular generic typeVaught's Conjectureweakly minimal

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Applications of logic to commutative algebra (13L05)

Related Items

Unnamed Item, Modules with few types over a hereditary noetherian prime ring, Modules with few types over a commutative valuation ring, Vaught's conjecture for modules over a serial ring, ∑–pure—injective modules over a commutative prüfer ring, Modules with few types over some finite-dimensional algebras

Cites Work

• Model theory of modules
• The classification of small weakly minimal sets. III: Modules
• Decomposition of totally transcendental modules
• Four concepts from “geometrical” stability theory in modules