Natural Classes, Left Exact Preradicals, and Flat Epimorphisms

DOI10.1081/AGB-120017344zbMath1027.16006OpenAlexW2163084739MaRDI QIDQ4801396

José Ríos Montes, Hugo Alberto Rincón-Mejía, Alejandro Alvarado García

Publication date: 7 April 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120017344

zbMATH Keywords

direct sumsleft semi-Artinian ringsinjective hullsnatural classesleft exact preradicalspretorsionsconvex complete sublatticesflat ring epimorphisms

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (1)

Operators between classes of modules given by preradicals

Cites Work

• Torsion free modules
• The lattice of pre-natural classes of modules
• Module types
• ON THE LATTICES OF NATURAL AND CONATURAL CLASSES INR-MOD
• Classes of Modules
• On some classes ofR-modules and congruences inR-tors
• Lattices of classes of modules
• The lattice of natural classes of modules

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