*-RINGS AND THEIR RADICALS

DOI10.1080/16073606.1985.9631914zbMath0584.16002OpenAlexW2085912009MaRDI QIDQ3708929

Halina France-Jackson

Publication date: 1985

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1985.9631914

zbMATH Keywords

prime ringsatomsregular ringsPI-algebrasminimal elementssupernilpotent radicalhereditary radicalsimple idempotent ringslattice of special radicalsprime almost nilpotent rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Rings with polynomial identity (16Rxx) Radicals and radical properties of associative rings (16Nxx)

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On Radicals with Amitsur Property ⋮ A NOTE ON SPECIAL RADICALS AND PARTITIONS OF SIMPLE RINGS ⋮ Unnamed Item ⋮ SOME CHARACTERIZATIONS OF SUPERNILPOTENT AND HEREDITARILY IDEMPOTENT RADICAL CLASSES ⋮ ON ATOMS OF THE LATTICE OF SUPERNILPOTENT RADICALS ⋮ ON SUPERNILPOTENT NONSPECIAL RADICALS ⋮ A PRIME ESSENTIAL RING THAT GENERATES A SPECIAL ATOM ⋮ ON α-LIKE RADICALS ⋮ ON PRIME-LIKE RADICALS ⋮ On rings generating atoms of lattices of special and supernilpotent radicals ⋮ RINGS RELATED TO SPECIAL ATOMS ⋮ RINGS RELATED TO SPECIAL ATOMS ⋮ ON SPECIAL RADICALS COINCIDING ON SIMPLE RINGS AND ON POLYNOMIAL RINGS ⋮ RADICAL RELATED TO SPECIAL ATOMS REVISITED ⋮ ON -LIKE RADICALS OF RINGS ⋮ RADICALS THAT DO NOT CONTAIN NON-ZERO *-RINGS ⋮ ON THE STABILISATION OF ONE-SIDED KUROSH’S CHAINS

Cites Work

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• On the hereditariness of the upper radical
• Variations on almost nilpotent rings, their radicals and partitions
• Characterizing and constructing special radicals