Pseudo-Differential Operator Rings with Armendariz-Like Condition

DOI10.1080/00927872.2010.545962zbMath1266.16020OpenAlexW2325126346MaRDI QIDQ5389034

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Publication date: 24 April 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.545962

zbMATH Keywords

radicalsnil radicalpseudo-differential operator ringsrings with derivationsLevitzky radicalArmendariz-like rings

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) Derivations, actions of Lie algebras (16W25) Rings of differential operators (associative algebraic aspects) (16S32) General radicals and associative rings (16N80)

Related Items (4)

On Annihilator Ideals of Pseudo-differential Operator Rings ⋮ On Armendariz Rings of Inverse Skew Laurent Series Type ⋮ On inverse skew Laurent series extensions of weakly rigid rings ⋮ ON ANNIHILATOR PROPERTIES OF INVERSE SKEW POWER SERIES RINGS

Cites Work

• Unnamed Item
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• Nilpotent elements and Armendariz rings.
• Solvability of the super KP equation and generalized of the Birkhoff decomposition
• Armendariz rings
• Polynomial rings over nil rings need not be nil
• On Skew Inverse Laurent-Serieswise Armendariz Rings
• Armendariz and Reduced Rings
• Armendariz rings and gaussian rings
• A note on extensions of Baer and P. P. -rings
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• Nil Rings Satisfying Certain Chain Conditions
• Ore Extensions of Skew Armendariz Rings
• Nil Subrings of Goldie Rings are Nilpotent
• Near-rings in which each element is a power of itself
• On annihilator ideals of a polynomial ring over a noncommutative ring

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