Modules with few types over a commutative valuation ring

DOI10.1007/BF02673891zbMath0986.03033MaRDI QIDQ5953284

V. A. Puninskaya

Publication date: 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

complete theory of modulescountable commutative Prüfer ringcountable hereditary Noetherian prime ringcountable serial ringfew modelsMartin's conjecturemodule over a countable commutative valuation ring

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Applications of logic to commutative algebra (13L05) Classification theory, stability, and related concepts in model theory (03C45) Applications of logic in associative algebras (16B70)

Cites Work

• Model theory of modules
• Martin's conjecture for \(\omega\)-stable theories
• Modules with few types
• Classification theory and the number of non-isomorphic models
• Modules with few types over a hereditary noetherian prime ring
• On Martin's conjecture
• Vaught's conjecture for o-minimal theories
• Decomposition of totally transcendental modules
• A Structure Theorem for Strongly Abelian Varieties with Few Models
• The prüfer rings that are endomorphism rings of artinian modules
• Vaught's conjecture for modules over a serial ring
• Arithmetical rings
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