The lattice of pre-natural classes of modules

DOI10.1016/S0022-4049(98)00007-3zbMath0947.16003OpenAlexW2064601118MaRDI QIDQ1300647

Yiqiang Zhou

Publication date: 29 October 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(98)00007-3

zbMATH Keywords

direct sumssublatticesinjective hullssemisimple ringshereditary pretorsion classesleft perfect ringsnatural classeshereditary torsion-free classesleft distributive ringspre-natural classesQI-rings

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Complete lattices, completions (06B23) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Ring-theoretic properties of Boolean algebras (06E20)

Related Items (9)

Natural Classes, Left Exact Preradicals, and Flat Epimorphisms ⋮ Big lattices of module classes induced by preradicals ⋮ ON THE LATTICES OF NATURAL AND CONATURAL CLASSES INR-MOD ⋮ Ideals, Natural Classes, and Functors ⋮ ON SOME LATTICES OF MODULE CLASSES ⋮ NATURAL CLASSES AND TORSION THEORIES ⋮ Sublattices of the lattice of pre-natural classes of modules ⋮ Rings for Which the Lattice of Hereditary Torsion Theories and the Lattice of Natural Classes are Isomorphic ⋮ Distributive modules and Armendariz modules.

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