Characterizing and constructing special radicals

DOI10.1007/BF01897305zbMath0504.16004OpenAlexW2001661382WikidataQ105456270 ScholiaQ105456270MaRDI QIDQ4740050

Richard Wiegandt, B. J. Gardner

Publication date: 1982

Published in: Acta Mathematica Academiae Scientiarum Hungaricae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01897305

zbMATH Keywords

prime ringssimple ringsintersection propertysaturated classupper radicalsemisimple classesspecial radicalweakly special classsupernilpotent radical classsubdirectly irreducible prime ringscosaturated classhereditary class of semiprime ringslower special radicalspecial dual radical

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Radicals and radical properties of associative rings (16Nxx)

Related Items (9)

*-RINGS AND THEIR RADICALS ⋮ A NOTE ON SPECIAL RADICALS AND PARTITIONS OF SIMPLE RINGS ⋮ Unnamed Item ⋮ Properties of ring elements that determine supernilpotent and special radicals ⋮ ON ATOMS OF THE LATTICE OF SUPERNILPOTENT RADICALS ⋮ Associative rings ⋮ ON SPECIAL RADICALS COINCIDING ON SIMPLE RINGS AND ON POLYNOMIAL RINGS ⋮ RICHARD WIEGANDT—65 YEARS FOR RADICAL THEORY ⋮ On the radical theory of Andrunakievich varieties

Cites Work

• On normal radicals, N-radicals and A-radicals
• Normal radicals and normal classes of rings
• Closure properties in radical theory
• Varieties of algebras
• Semisimple classes of alternative rings
• Special closure,M-radicals, and relative complements
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