Semiprime Preradicals

DOI10.1080/00927870802623476zbMath1179.16006OpenAlexW4234892192MaRDI QIDQ3395622

Carlos Signoret, Hugo Alberto Rincón-Mejía, José Ríos Montes, Francisco Raggi, Rogelio Fernández-Alonso

Publication date: 11 September 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802623476

zbMATH Keywords

Jacobson radicalfully invariant submoduleslattices of preradicalssemiprime submodulesnilpotent preradicalssemiprime preradicals

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Modular lattices, Desarguesian lattices (06C05) General radicals and associative rings (16N80) Jacobson radical, quasimultiplication (16N20)

Related Items (19)

FULLY PRIME MODULES AND FULLY SEMIPRIME MODULES ⋮ On the De Morgan's laws for modules ⋮ On the structure of Goldie modules ⋮ Unnamed Item ⋮ Attaching topological spaces to a module. I: sobriety and spatiality ⋮ On strongly harmonic and Gelfand modules ⋮ A generalization of quantales with applications to modules and rings. ⋮ Unnamed Item ⋮ Abelian endoregular modules ⋮ MAIN MODULES AND SOME CHARACTERIZATIONS OF RINGS WITH GLOBAL CONDITIONS ON PRERADICALS ⋮ Quasi-n-absorbing and semi-n-absorbing preradicals ⋮ Primitive submodules, co-semisimple and regular modules ⋮ Krull Dimension and Classical Krull Dimension of Modules ⋮ Unnamed Item ⋮ On Semiprime Goldie Modules ⋮ On 2-absorbing preradicals ⋮ Co-2-absorbing preradicals and submodules ⋮ Johns modules and quasi-Johns modules ⋮ Modules with ascending chain condition on annihilators and Goldie modules

Cites Work

• Unnamed Item
• The lattice structure of preradicals. III: Operators.
• THE LATTICE STRUCTURE OF PRERADICALS II: PARTITIONS
• PRIME AND IRREDUCIBLE PRERADICALS
• Duprime and dusemiprime modules

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