The nil radical of power series rings

DOI10.1007/BF02808186zbMath0934.16016OpenAlexW2078153580MaRDI QIDQ1293987

Agata Smoktunowicz, Edmund R. Puczylowski

Publication date: 15 September 1999

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02808186

zbMATH Keywords

nil ringsnil radicalspower series ringsright nil ideals

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40)

Related Items

ℒ-Prime Rings Need Not Be Primary, Nilpotent ideals in polynomial and power series rings, An Ascending Chain Condition on Wedderburn Radicals, Arnold's Theorem on the Strongly Finite Type (SFT) Property and the Dimension of Power Series Rings

Cites Work

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• Two counterexamples in power series rings
• Prime ideals in normalizing extensions
• The sum of nil one-sided ideals of bounded index of a ring
• Radicals of polynomial rings, power series rings and tensor products
• Rings with Bounded Index of Nilpotence
• Logical connections between some open problems concerning nil rings