Simple rings whose lower radicals are atoms

DOI10.1007/BF01951333zbMath0536.16010OpenAlexW1985484745MaRDI QIDQ791608

B. J. Gardner

Publication date: 1984

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01951333

zbMATH Keywords

simple ringslower radicalatom in the lattice of radicals

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Structure theory of lattices (06B05) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Radical theory (nonassociative rings and algebras) (17A65) Radicals and radical properties of associative rings (16Nxx)

Related Items (3)

ON MAXIMAL ESSENTIAL EXTENSIONS OF RINGS ⋮ On essential extensions of rings ⋮ Examples of chain domains

Cites Work

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• The intersection property of an upper radical
• On \(\mathrm\text{ Ш}\)-rigidity of groups of order \(p^6\).
• Closure properties in radical theory
• Lattices of radicals
• The Brauer-Manin Obstruction and III[2]
• The lattice (,⊂) of arbitrary torsion classes for mod-r
• On unequivocal rings
• Some functors arising from the consideration of torsion theories over noncommutative rings

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