On the Semisimplicity of Skew Polynomial Rings

DOI10.2307/2044470zbMath0535.16002OpenAlexW4240408075MaRDI QIDQ3318906

Jai Ram

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2044470

zbMATH Keywords

relationsskew polynomial ringsJacobson radicalLevitzki radicalsemisimple algebra

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) 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) Radicals and radical properties of associative rings (16Nxx)

Related Items

On the semiprimitivity of skew polynomial rings, A taxonomy of Dedekind-finite and reflexive rings, On \(\sigma\)-nil ideals of bounded index of \(\sigma\)-nilpotence., Quasi-duo skew polynomial rings., Classification of nonsemicommutative rings, Radicals of skew polynomial rings and skew Laurent polynomial rings., On the semiprimitivity of free skew extensions of rings

Cites Work

• Jacobson radical of skew polynomial rings and skew group rings
• Arithmetic Progressions Contained in Sequences with Bounded Gaps
• Ore Extensions and Polycyclic Group Rings
• A note on semiprimitivity of ore extensions
• A Short Proof of van der Waerden's Theorem on Arithmetic Progressions
• Unnamed Item