Strong radical properties of alternative and associative rings

DOI10.1016/0021-8693(71)90019-6zbMath0214.05103OpenAlexW1986031887MaRDI QIDQ2545190

N. Divinsky, A. Suliński, Jan Krempa

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0021-8693(71)90019-6

Mathematics Subject Classification ID

General radicals and associative rings (16N80) Alternative rings (17D05) Radical theory (nonassociative rings and algebras) (17A65)

Related Items (29)

On Matrix Rings and Subhereditary Radicals ⋮ On Sands' questions concerning strong and hereditary radicals ⋮ On atoms and coatoms of lattices of radicals of associative rings ⋮ Kurosh's chains of associative rings ⋮ A note on prime essential rings ⋮ On essential extensions of rings ⋮ Subrings generated by accessible subrings ⋮ On radicals of rings which are sums of two subrings ⋮ Radicals and idempotents II ⋮ ON QUESTIONS CONCERNING STRONG RADICALS OF ASSOCIATIVE RINGS ⋮ On normal classes of rings ⋮ ON PRIME RINGS AND THE RADICALS ASSOCIATED WITH THEIR DEGREES OF PRIMENESS ⋮ The radical equation P(A_n) = (P(A))_n ⋮ A general kurosh-amitsur radical theory ⋮ Nonassociative rings ⋮ THE BROWN-MCCOY RADICAL AND ONE-SIDED IDEALS ⋮ Ideals of matrixrings over nonassociative rings ⋮ On Relations among radical properties ⋮ Associative rings ⋮ A note on strong radicals ⋮ Radicals of rings and their subrings ⋮ Quast m-rings and their radicals ⋮ Hereditariness of strong and stable radicals ⋮ RADICAL RELATED TO SPECIAL ATOMS REVISITED ⋮ Rings which are sums of two subrings ⋮ On principally hereditary radicals ⋮ A CONTRIBUTION OF ADAM SULIŃSKI TO RADICAL THEORY ⋮ ON THE STABILISATION OF ONE-SIDED KUROSH’S CHAINS ⋮ ACCESSIBLE SUBRINGS AND KUROSH’S CHAINS OF ASSOCIATIVE RINGS

Cites Work

• Unnamed Item
• Algebras Over Infinite Fields
• Kurosh Radicals of Rings with Operators
• Hereditary Radicals in Associative and Alternative Rings
• Lower Radical Properties for Associative and Alternative Rings
• A Note on Hypernilpotent Radical Properties for Associative Rings
• A Note on Lower Radical Constructions for Associative Rings
• The Hereditary Property in the Lower Radical Construction
• Lower Radicals in Associative Rings
• A General Theory of Radicals. II. Radicals in Rings and Bicategories
• A General Theory of Radicals. III. Applications

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