Primitive rings are not definable in l∞∞

DOI10.1080/00927878208822797zbMath0507.16008OpenAlexW1963586380MaRDI QIDQ4744416

Alan H. Mekler

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00927878208822797

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Cites Work

• Primitive rings do not form an elementary class
• Reduced products and nonstandard logics

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