A simple solution of the ADS-problem

DOI10.2989/16073606.2019.1572665zbMath1441.16022OpenAlexW2921518694MaRDI QIDQ5221846

Małgorzata Elzbieta Hryniewicka, Karol Pryszczepko, Ryszard R. Andruszkiewicz

Publication date: 3 April 2020

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

Full work available at URL: https://doi.org/10.2989/16073606.2019.1572665

zbMATH Keywords

radical class of ringsADS-problemBeidar theoremKurosh radical class construction

Mathematics Subject Classification ID

General radicals and associative rings (16N80) Radicals and radical properties of associative rings (16N99)

Cites Work

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• On the nil radical
• The upper nilradical and Jacobson radical of semigroup graded rings.
• Stabilization of Kurosh chains
• Jacobson radicals of ring extensions.
• ACCESSIBLE SUBRINGS AND KUROSH’S CHAINS OF ASSOCIATIVE RINGS
• Skew derivations and the nil and prime radicals
• A chain of Kurosh may have an arbitrary finite length
• A NOTE ON NIL AND JACOBSON RADICALS IN GRADED RINGS
• Lower Radical Properties for Associative and Alternative Rings
• A Note on Lower Radical Constructions for Associative Rings
• A General Theory of Radicals. I. Radicals in Complete Lattices
• A General Theory of Radicals. II. Radicals in Rings and Bicategories
• A General Theory of Radicals. III. Applications

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