ANNIHILATOR CONDITIONS IN MATRIX AND SKEW POLYNOMIAL RINGS

DOI10.1142/S021949881250079XzbMath1259.16032OpenAlexW2074206787MaRDI QIDQ2909810

Abdollah Alhevaz, Ahmad Moussavi

Publication date: 6 September 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949881250079x

zbMATH Keywords

skew polynomial ringsJacobson radicalradicalsupper triangular matrix ringsskew Armendariz ringsrigid ringszip rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Ordinary and skew polynomial rings and semigroup rings (16S36) General radicals and associative rings (16N80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60)

Related Items (7)

\(\Sigma\)-semicommutative rings and their skew PBW extensions ⋮ On Monoid Rings Over Nil Armendariz Ring ⋮ Annihilator Ideals of Noncommutative Ring Constructions ⋮ Reflexive-nilpotents-property skewed by ring endomorphisms ⋮ Ring endomorphisms satisfying the central reversible property ⋮ An extension of the reflexive property of rings ⋮ Radicals of Skew Inverse Laurent Series Rings

Cites Work

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• A unified approach to the Armendariz property of polynomial rings and power series rings
• Near-rings in which each element is a power of itself
• On the Representation of Modules by Sheaves of Factor Modules
• On annihilator ideals of a polynomial ring over a noncommutative ring

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