On Rings Whose Strongly Prime Ideals Are Completely Prime

DOI10.1142/S1005386710000295zbMath1204.16015MaRDI QIDQ3553725

Chang Ik Lee, Yang Lee, Chan Huh

Publication date: 21 April 2010

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

Full work available at URL: http://www.worldscinet.com/ac/17/1702/S1005386710000295.html

zbMATH Keywords

bimodulesnilpotent elementsmaximal idealsformal power series ringsring extensionsprime radicalupper nilradicalcompletely prime idealsstrongly prime idealsright weakly regular ringsstrongly 2-primal ringsK-ringsstrongly NI rings

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80) Bimodules in associative algebras (16D20) Ideals in associative algebras (16D25)

Related Items (3)

ON THE UPPER NIL RADICAL FOR R-MODULES ⋮ ON NI AND QUASI-NI RINGS ⋮ PROPERTIES OF K-RINGS AND RINGS SATISFYING SIMILAR CONDITIONS

Cites Work

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• Structure and topological conditions of NI rings.
• Weakly regular rings with ACC on annihilators and maximality of strongly prime ideals of weakly regular rings.
• Noncommutative rings in which every prime ideal is contained in a unique maximal ideal
• Polynomial rings over nil rings need not be nil
• On rings whose prime ideals are completely prime
• ON 2-PRIMAL ORE EXTENSIONS
• On minimal strongly prime ideals
• An Ascending Chain Condition on Wedderburn Radicals
• A Theorem on Division Rings
• Radical Ideals

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