Radicals in differential polynomial rings

DOI10.1142/S0218196721500041zbMath1466.16017MaRDI QIDQ5854489

Jongwook Baeck, Nam Kyun Kim, Yang Lee

Publication date: 17 March 2021

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

Levitzki radicalupper nilradicalstrongly prime radicaldifferential polynomial ringuniformly strongly prime radical

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Derivations, actions of Lie algebras (16W25) General radicals and associative rings (16N80)

Related Items (1)

Erratum: Radicals in differential polynomial rings

Cites Work

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• Differential polynomial rings over locally nilpotent rings need not be Jacobson radical.
• Amitsur's property for skew polynomials of derivation type
• Polynomial rings over nil rings need not be nil
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• Five solved problems on radicals of Ore extensions
• How far can we go with Amitsur's theorem in differential polynomial rings?
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• Radicals Of Polynomial Rings
• The strongly prime radical of crossed products
• Jacobson Radicals of Ore Extensions of Derivation Type
• On Radicals of Skew Polynomial Rings of Derivation Type
• The strongly prime radical of an ore extension
• Skew Polynimials and Jacobson Rings
• Noetherian Ore Extensions and Jacobson Rings
• Strongly Prime Rings
• UNIFORMLY STRONGLY PRIME RADICALS
• Primeness, semiprimeness and prime radical of ore extensions
• Bayes' Formula and A Priori Probabilities in the Game of Bridge

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