RADICAL AND SEMISIMPLE CLASSES IN CATEGORIES

DOI10.1080/16073606.1981.9631873zbMath0474.18008OpenAlexW2089558169MaRDI QIDQ3929919

Stefan Veldsman, A. Buys, Nico J. Groenewald

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/16073606.1981.9631873

zbMATH Keywords

trivial class(E,M)-radical class(E,M)-semisimple classconnectednesses and disconnectednesses of topological spaces and graphsKurosh-Amitsur radical theory of algebraic structuresradical and semisimple classestorsion theory of abelian categories

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Radicals and radical properties of associative rings (16Nxx)

Related Items (6)

ON THE EXISTENCE AND NON-EXISTENCE OF COMPLEMENTARY RADICAL AND SEMISIMPLE CLASSES ⋮ The significance of the contributions of congruences to the theory of connectednesses and disconnectednesses for topological spaces and graphs ⋮ Pretorsion theories in general categories ⋮ A general kurosh-amitsur radical theory ⋮ ON BASE RADICAL OPERATORS FOR CLASSES OF FINITE ASSOCIATIVE RINGS ⋮ A categorical approach to largest and smallest connectednesses and disconnectednesses

Cites Work

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• Algebras of uniformly continuous functions
• Connectednesses and disconnectednesses of graphs
• On torsion classes of Abelian groups
• A condition in general radical theory and its meaning for rings, topological spaces and graphs
• Connectednesses and disconnectednesses in topology
• Radicals in Categories
• On the general theory of radicals in categories
• Category-theoretic foundations of the duality of radicality and semisimplicity

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