On the semiprimitivity of skew polynomial rings

DOI10.1017/S0013091500018319zbMath0804.16029MaRDI QIDQ4289412

Ahmad Moussavi

Publication date: 16 January 1995

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Ore extensiontwisted polynomial ringsemi-primitivity\(f\)-derivationa.c.c. for right annihilatorsJacobson and nilpotent radicalsring-monomorphismsemi-prime left Noetheriansemi-primitive left Goldie ring

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (4)

Ore extensions of Jacobson rings. ⋮ On Radicals of Skew Inverse Laurent Series Rings ⋮ On the semiprimitivity of free skew extensions of rings ⋮ On Goldie Prime Ideals of Ore Extensions

Cites Work

• Monomorphisms and radicals of Noetherian rings
• Jacobson radical of skew polynomial rings and skew group rings
• Endomorphisms, derivations, and polynomial rings
• Prime ideals of Ore extensions over commutative rings
• Skew polynomial rings over orders in Artinian rings
• Radicals Of Polynomial Rings
• On the Semisimplicity of Skew Polynomial Rings
• Goldie Dimension of Prime Factors of Polynomial and Skew Polynomial Rings
• When are all prime ideals in an ore extension goldie?
• Bijective Extensions of Injective Ring Endomorphisms
• Ore Extensions and Polycyclic Group Rings
• A note on semiprimitivity of ore extensions
• A skew polynomial ring over a jacobson ring need not be a jacobson ring
• Nil Subrings of Goldie Rings are Nilpotent

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