The lattice of natural classes of modules

DOI10.1080/00927879608825660zbMath0849.16006OpenAlexW2024761266MaRDI QIDQ4880094

Yiqiang Zhou

Publication date: 3 November 1996

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

Full work available at URL: https://doi.org/10.1080/00927879608825660

zbMATH Keywords

torsion theoriesdirect sumsdirect productsinjective hullssemiartinian ringsBoolean latticesleft perfect ringsnatural classesatomic lattices

Mathematics Subject Classification ID

Lattices of varieties (08B15) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Other classes of modules and ideals in associative algebras (16D80)

Related Items

Lattices of classes of modules, Natural Classes, Left Exact Preradicals, and Flat Epimorphisms, ON THE LATTICES OF NATURAL AND CONATURAL CLASSES INR-MOD, ON SOME LATTICES OF MODULE CLASSES, Decomposing modules into direct sums of submodules with types, 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, On retractability and its relationships with lattices associated to a ring, Operators between classes of modules given by preradicals

Cites Work

• Direct sums of quasi-injective modules, injective covers, and natural classes
• On Direct Sums of Injective Modules and Chain Conditions
• Direct sums of m-injective modules and module classes
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