Classical Quotient Rings and Ordinary Extensions of 2-Primal Rings

DOI10.1142/S1005386706000460zbMath1121.16020OpenAlexW2014352741MaRDI QIDQ5483348

Mi Hyang Kwon, Nam Kyun Kim, Yong Uk Cho, Yang Lee

Publication date: 14 August 2006

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

Full work available at URL: https://doi.org/10.1142/s1005386706000460

zbMATH Keywords

nilpotent elementsring extensionspower series ringsprime radical2-primal ringsp.p. ringsclassical quotient rings

Mathematics Subject Classification ID

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) Noncommutative local and semilocal rings, perfect rings (16L30) Ore rings, multiplicative sets, Ore localization (16U20)

Related Items (2)

Reflexive property restricted to nilpotents ⋮ ON SEMI-IFP RINGS

Cites Work

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• Regularity conditions and the simplicity of prime factor rings
• Noncommutative rings in which every prime ideal is contained in a unique maximal ideal
• Addendum to ``Examples of semiperfect rings
• Ore extensions of Baer and p.p.-rings.
• Reversible and symmetric rings.
• On weak \(\pi\)-regularity of rings whose prime ideals are maximal
• Armendariz rings and reduced rings
• Orders in Artinian rings. II
• ON 2-PRIMAL ORE EXTENSIONS
• A Generalization of the Ring of Triangular Matrices
• Semihereditary rings
• Nil Subrings of Goldie Rings are Nilpotent

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