Skew polynomial rings over 2-primal rings

DOI10.1080/00927879908826705zbMath0957.16019OpenAlexW2104591494MaRDI QIDQ4262383

Greg Marks

Publication date: 8 January 2001

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

Full work available at URL: https://doi.org/10.1080/00927879908826705

zbMATH Keywords

skew polynomial ringsnilpotent elementsderivationsautomorphismsprime radical2-primal ringscompletely prime idealsdifferential polynomial rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Ideals in associative algebras (16D25)

Related Items (16)

CLEANNESS OF SKEW GENERALIZED POWER SERIES RINGS ⋮ A GENERALIZATION OF REDUCED RINGS ⋮ Gelfand Factor Rings and Weak Zariski Topologies ⋮ Some characterizations of 2-primal skew generalized power series rings ⋮ A taxonomy of 2-primal rings. ⋮ Unnamed Item ⋮ Lower bounds on the stable range of skew polynomial rings ⋮ Classification of nonsemicommutative rings ⋮ RADICALS OF SKEW GENERALIZED POWER SERIES RINGS ⋮ Some remarks about minimal prime ideals of skew Poincaré-Birkhoff-Witt extensions ⋮ ORE EXTENSIONS OF 2-PRIMAL RINGS ⋮ ON 2-PRIMAL ORE EXTENSIONS ⋮ Extensions and topological conditions of NJ rings ⋮ A characterization of 2-primal and NI rings over skew inverse Laurent series rings ⋮ Radicals of Ore Extension of Skew Armendariz Rings ⋮ Minimal prime ideals of skew PBW extensions over 2-primal compatible rings

Cites Work

• Noncommutative rings in which every prime ideal is contained in a unique maximal ideal
• Prime ideals in skew polynomial rings and quantized Weyl algebras
• On differential rings and skew pulynomials
• On Radicals of Skew Polynomial Rings of Derivation Type
• Ore Extensions and Polycyclic Group Rings
• A skew polynomial ring over a jacobson ring need not be a jacobson ring
• Primeness, semiprimeness and prime radical of ore extensions
• Questions on 2-primal rings

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