ORE EXTENSIONS OF 2-PRIMAL RINGS

DOI10.1142/S021949881350117XzbMath1291.16020MaRDI QIDQ5414204

Alireza Nasr-Isfahani

Publication date: 2 May 2014

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

zbMATH Keywords

Ore extensions2-primal ringsminimal prime idealscompletely prime idealscompatible 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 (9)

Unnamed Item ⋮ Some types of ring elements in Ore extensions over noncommutative rings ⋮ Some characterizations of 2-primal skew generalized power series rings ⋮ Rings whose singular ideals are nil ⋮ Unnamed Item ⋮ Lower bounds on the stable range of skew polynomial rings ⋮ A characterization of 2-primal and NI rings over skew inverse Laurent series rings ⋮ Unnamed Item ⋮ Minimal prime ideals of skew PBW extensions over 2-primal compatible rings

Cites Work

• A taxonomy of 2-primal rings.
• Polynomial rings over nil rings need not be nil
• Polynomial extensions of quasi-Baer rings.
• ON 2-PRIMAL ORE EXTENSIONS
• On differential rings and skew pulynomials
• Skew polynomial rings over 2-primal rings
• Primeness, semiprimeness and prime radical of ore extensions
• ASSOCIATED PRIMES OVER SKEW POLYNOMIAL RINGS
• Rigid Ideals and Radicals of Ore Extensions

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