ABELIAN PROPERTY CONCERNING FACTORIZATION MODULO RADICALS

DOI10.11568/KJM.2016.24.4.737zbMath1432.16017OpenAlexW2585475345MaRDI QIDQ5216619

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Publication date: 18 February 2020

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2016.24.4.737

zbMATH Keywords

idempotentJacobson radicalupper nilradicalabelian ringlower nilradicalfactor ring

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Ideals in associative algebras (16D25) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Jacobson radical, quasimultiplication (16N20)

Cites Work

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• Structure and topological conditions of NI rings.
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• Armendariz rings
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• Armendariz rings and reduced rings
• ON JACOBSON AND NIL RADICALS RELATED TO POLYNOMIAL RINGS
• ARMENDARIZ PROPERTY OVER PRIME RADICALS
• Radicals Of Polynomial Rings
• ON WEAK ARMENDARIZ RINGS
• Armendariz rings and gaussian rings
• A note on extensions of Baer and P. P. -rings
• A Connection Between Weak Regularity and the Simplicity of Prime Factor Rings
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• Power Series Rings Satisfying a Zero Divisor Property
• Nil Subrings of Goldie Rings are Nilpotent
• p. p. rings and generalized p. p. rings

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