THE LATTICE STRUCTURE OF PRERADICALS

DOI10.1081/AGB-120004886zbMath1007.16022OpenAlexW4255735213MaRDI QIDQ4534153

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

Publication date: 31 July 2002

Full work available at URL: https://doi.org/10.1081/agb-120004886

zbMATH Keywords

atomssimple ringsfully invariant submoduleslattices of preradicalssemisimple Artinian ringsV-ringscoatomssimple Artinian rings

Mathematics Subject Classification ID

Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Artinian rings and modules (associative rings and algebras) (16P20)

Related Items (18)

On lattices associated to rings with respect to a preradical ⋮ The lattice structure of preradicals. III: Operators. ⋮ Galois connections between lattices of preradicals induced by adjoint pairs between categories of modules. ⋮ Big lattices of module classes induced by preradicals ⋮ On strongly harmonic and Gelfand modules ⋮ A generalization of quantales with applications to modules and rings. ⋮ A GENERALIZATION OF MULTIPLICATION MODULES ⋮ Some isomorphic big lattices and some properties of lattice preradicals ⋮ Some operators and dimensions in modular meet-continuous lattices ⋮ On the connection between the representation type of an algebra and its lattice of preradicals ⋮ Preradicals over left pure semisimple hereditary rings ⋮ Quasi-n-absorbing and semi-n-absorbing preradicals ⋮ Mappings between R-tors and other lattices ⋮ Coprime preradicals and modules. ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Galois connections between lattices of preradicals induced by ring epimorphisms ⋮ On compactness and cocompactness conditions for R-tors, R-pr and (big) lattices of classes of modules

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