Warfield rings

DOI10.1007/BF00739413zbMath0838.16001OpenAlexW2022608760MaRDI QIDQ1892816

G. E. Puninskij

Publication date: 26 June 1995

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187686

zbMATH Keywords

direct sumsdirect summandsNoetherian ringsserial ringselimination of quantifiersfinitely presented modulesfinitely presented right modulespositive primitive formulascyclic finitely presented modulesleft perfect local \(W1\)-ringslocal \(W1\)-ringsright \(W1\)-rings

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noncommutative local and semilocal rings, perfect rings (16L30) Applications of logic in associative algebras (16B70)

Cites Work

• On Finitely Generated Subgroups of Free Products
• Coset Representations in Free Groups
• Unnamed Item

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