Radicals and Köthe's conjecture for skew PBW extensions

DOI10.1007/s40304-019-00189-0zbMath1470.16050OpenAlexW2972041527WikidataQ123143112 ScholiaQ123143112MaRDI QIDQ2046898

Armando Reyes, Héctor Suárez

Publication date: 19 August 2021

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40304-019-00189-0

zbMATH Keywords

skew PBW extensionsArmendariz ringsKöthe's conjecture

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Deformations of associative rings (16S80) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (14)

On the differential smoothness of 3-dimensional skew polynomial algebras and diffusion algebras ⋮ On NI and NJ skew PBW extensions ⋮ Unnamed Item ⋮ On weak annihilators and nilpotent associated primes of skew PBW extensions ⋮ On nil algebras and a problem of Passman concerning nilpotent free algebras ⋮ \(\Sigma\)-semicommutative rings and their skew PBW extensions ⋮ Homogenized skew PBW extensions ⋮ Associated prime ideals over skew PBW extensions ⋮ Skew Poincaré–Birkhoff–Witt extensions over weak compatible rings ⋮ Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions ⋮ Armendariz modules over skew PBW extensions ⋮ Unnamed Item ⋮ Algunos tipos especiales de determinantes en extensiones PBW torcidas graduadas ⋮ Minimal prime ideals of skew PBW extensions over 2-primal compatible rings

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