The model-theoretic structure of Abelian group rings

DOI10.1016/0168-0072(85)90025-9zbMath0557.03020OpenAlexW1972474496MaRDI QIDQ762143

Peter Pappas

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0168-0072(85)90025-9

zbMATH Keywords

transcendence degreefirst order theoriesabelian group ring

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07)

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La théorie d'un anneau de polynômes

Cites Work

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• Model-completeness and elimination of quantifiers for subdirect products of structures
• Perfect subsets of definable sets of real numbers
• Observations on group rings
• Modules over commutative regular rings
• Topological Representation of Algebras