THE LATTICE OF PRERADICALS OVER LOCAL UNISERIAL RINGS

DOI10.1142/S021949880600196XzbMath1111.16030MaRDI QIDQ3421567

Rogelio Fernández-Alonso, Silvia Gavito

Publication date: 7 February 2007

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

chains of idealsdistributive latticesirreducible elementsleft Artinian ringsprime elementslattices of preradicalslocal uniserial ringsidempotent preradicalscompletely primary ringsself-dual latticesidempotent radicals

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Noncommutative local and semilocal rings, perfect rings (16L30) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) General radicals and associative rings (16N80)

Related Items (3)

Galois connections between lattices of preradicals induced by adjoint pairs between categories of modules. ⋮ On the connection between the representation type of an algebra and its lattice of preradicals ⋮ MAIN MODULES AND SOME CHARACTERIZATIONS OF RINGS WITH GLOBAL CONDITIONS ON PRERADICALS

Cites Work

• Verallgemeinerte Abelsche Gruppen mit hyperkomplexem Operatorenring
• On Köthe rings

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