Extensions of elementary duality

DOI10.1016/0022-4049(94)90079-5zbMath0801.03028OpenAlexW2044649391MaRDI QIDQ1321049

Martin Ziegler, M. Y. Prest, Philipp Rothmaler

Publication date: 5 December 1994

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)90079-5

zbMATH Keywords

categorical dualityabelian structureselementary duality of pp-formulasinfinitary formulasinfinitary theories

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Free, projective, and flat modules and ideals in associative algebras (16D40) Other infinitary logic (03C75) Applications of logic in associative algebras (16B70)

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Cites Work

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• Unidimensional modules: Uniqueness of maximal non-modular submodels
• Model theory of modules
• On the axiomatizability of certain classes of modules
• Absolutely pure and flat modules and ``indiscrete rings
• On the Sparsity of Representations of Rings of Pure Global Dimension Zero
• Four concepts from “geometrical” stability theory in modules
• Elementary Duality of Modules
• Über absolut reine Ringe.