On Radicals of Skew Inverse Laurent Series Rings

DOI10.1142/S1005386716000353zbMath1345.16020MaRDI QIDQ2809256

Ahmad Moussavi

Publication date: 27 May 2016

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

zbMATH Keywords

nilpotent elementsJacobson radicalnil idealsnil radicalAmitsur conditionArmendariz-like conditionskew inverse Laurent series 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) General radicals and associative rings (16N80) Jacobson radical, quasimultiplication (16N20)

Cites Work

• Radicals of skew polynomial rings and skew Laurent polynomial rings.
• Noetherian skew inverse power series rings.
• Jacobson radical of skew polynomial rings and skew group rings
• Polynomial rings over nil rings need not be nil
• Polynomial extensions of quasi-Baer rings.
• On Skew Inverse Laurent-Serieswise Armendariz Rings
• On Skew Power Serieswise Armendariz Rings
• Armendariz and Reduced Rings
• On Strongly Clean Matrix and Triangular Matrix Rings
• The skew field of fractions of the weyl algebra contains a free noncommutative subalgebra
• Armendariz rings and gaussian rings
• A note on extensions of Baer and P. P. -rings
• On the semiprimitivity of skew polynomial rings
• ARMENDARIZ RINGS AND SEMICOMMUTATIVE RINGS
• On Skew Armendariz Rings
• Nil Rings Satisfying Certain Chain Conditions
• 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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