Radicals and Socles of an Algebra Without Identity

DOI10.1081/AGB-120021898zbMath1037.16016MaRDI QIDQ4408757

James A. Green, Maria Luísa Galvão, Maria Teresa A. D. Nogueira

Publication date: 29 June 2003

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

zbMATH Keywords

semisimple modulessimple modulessupplemented modulesArtinian modulessemisimple algebrasArtinian algebrassemiartinian modulessocles of modulesJacobson radical of ringsleft radicals of algebrasleft socles of algebrasmodular maximal left idealsradicals of left modulesregular maximal left idealsstrictly cyclic modules

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Ideals in associative algebras (16D25) Jacobson radical, quasimultiplication (16N20)

Cites Work

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