Rings Whose Nilpotent Elements form a Levitzki Radical Ring

DOI10.1080/00927870601117597zbMath1121.16021OpenAlexW1981241298MaRDI QIDQ3446639

Chan Yong Hong, Hong Kee Kim, Kwang Sug Park, Nam Kyun Kim, Yang Lee, Tai Keun Kwak

Publication date: 19 June 2007

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

Full work available at URL: https://doi.org/10.1080/00927870601117597

zbMATH Keywords

nil ringspolynomial ringsLevitzki radicalradical ringspower series ringsprime radicalnil radicallocally 2-primal 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)

Related Items (1)

Classification of nonsemicommutative rings

Cites Work

• Unnamed Item
• Polynomial rings over nil rings need not be nil
• ON 2-PRIMAL ORE EXTENSIONS
• Rings of bounded index
• Radicals of polynomial rings, power series rings and tensor products
• Questions on 2-primal rings
• Orders for Finite Noncommutative Rings
• Nil Subrings of Goldie Rings are Nilpotent
• NILRADICALS OF POWER SERIES RINGS AND NIL POWER SERIES RINGS

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