Ultraproducts and ultra-limits of near-rings

DOI10.1007/BF01295666zbMath0571.16018OpenAlexW2046991571MaRDI QIDQ1061823

P. R. Fuchs, Günter Pilz

Publication date: 1985

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178240

zbMATH Keywords

ultrapowersultraproductsultralimits2-primitive near-ringsmaximal filterdistributive elementsN-groupsmodular left idealsdirect product of the near-ringsfilterproductfirst-order language for near-rings

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Near-rings (16Y30) Ultraproducts and related constructions (03C20) Basic properties of first-order languages and structures (03C07)

Cites Work

• Ultraproducts in the theory of models
• Prime Rings Having Polynomial Identities with Arbitrary Coefficients
• Unnamed Item

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