Lattices of classes of modules

DOI10.1080/00927879908826703zbMath0947.16002OpenAlexW1992918885MaRDI QIDQ4262381

John Dauns

Publication date: 29 October 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826703

zbMATH Keywords

lattice isomorphismsretractslattice homomorphismssaturated classeshereditary torsion-free classespre-natural classeslattices of classes of moduleslattices of hereditary pretorsion classes

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)

Related Items

Natural Classes, Left Exact Preradicals, and Flat Epimorphisms, ON THE LATTICES OF NATURAL AND CONATURAL CLASSES INR-MOD, Ideals, Natural Classes, and Functors, Sublattices of the lattice of pre-natural classes of modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Torsion free modules
• Module types
• Relative chain conditions and module classes
• Qi-filters and tight modules
• Direct sums of quasi-injective modules, injective covers, and natural classes
• On Direct Sums of Injective Modules and Chain Conditions
• On the idempotence and stability of kernel functors
• Direct sums of m-injective modules and module classes
• The lattice of natural classes of modules