On Radicals of Skew Inverse Laurent Series Rings
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Publication:2809256
DOI10.1142/S1005386716000353zbMath1345.16020MaRDI QIDQ2809256
Publication date: 27 May 2016
Published in: Algebra Colloquium (Search for Journal in Brave)
nilpotent elementsJacobson radicalnil idealsnil radicalAmitsur conditionArmendariz-like conditionskew inverse Laurent series rings
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.
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- 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
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- On Strongly Clean Matrix and Triangular Matrix Rings
- The skew field of fractions of the weyl algebra contains a free noncommutative subalgebra
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- 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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