On differential rings and skew pulynomials

DOI10.1080/00927878508823160zbMath0555.16003OpenAlexW1991019495MaRDI QIDQ3218255

Kazuo Kishimoto, Miguel Ferrero

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00927878508823160

zbMATH Keywords

Jacobson radicalderivationskew polynomial ringlower nil radicalJacobson ringD-prime idealquasi-finite differential rings

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Radicals and radical properties of associative rings (16Nxx)

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Cites Work

• Primitivity in differential operator rings
• Polynomial extensions of Jacobson rings
• Prime rings satisfying a generalized polynomial identity
• On Radicals of Skew Polynomial Rings of Derivation Type
• Liberal Extensions
• Prime Ideals in Intermediate Extensions
• Ore Extensions and Polycyclic Group Rings
• Noetherian Ore Extensions and Jacobson Rings
• Primitive Ore extensions
• A skew polynomial ring over a jacobson ring need not be a jacobson ring