Primitive rings do not form an elementary class

DOI10.1080/00927878108822589zbMath0454.16001OpenAlexW2151733681MaRDI QIDQ3901616

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Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00927878108822589

zbMATH Keywords

elementary classultraproductsprimitive ringsultraroots

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ultraproducts and related constructions (03C20)

Related Items (2)

Primitive near-rings do not form an axiomatisable class ⋮ Primitive rings are not definable in l_∞∞

Cites Work

• Prime Rings Having Polynomial Identities with Arbitrary Coefficients

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