ON SOME LATTICES OF MODULE CLASSES

DOI10.1142/S0219498806001624zbMath1100.16025OpenAlexW2045505582MaRDI QIDQ3379469

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

Publication date: 6 April 2006

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498806001624

zbMATH Keywords

hereditary torsion theoriescategories of moduleshereditary classesconatural classesArtinian principal ideal ringscohereditary classes

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (12)

On lattices associated to rings with respect to a preradical ⋮ Big lattices of module classes induced by preradicals ⋮ On the lattice of conatural classes of linear modular lattices ⋮ Pseudocomplements and strong pseudocomplements in lattices of module classes ⋮ Cotype dimension and cotype chain conditions ⋮ Parainjectivity, paraprojectivity and artinian principal ideal rings ⋮ DECOMPOSING MODULES INTO DIRECT SUMS OF COTYPE SUBMODULES ⋮ ON SOME RELATIONS BETWEEN THE LATTICES R-nat, R-conat AND R-tors AND THE RINGS THEY CHARACTERIZE ⋮ Another type of dimensions of modules and rings ⋮ Rings for Which the Lattice of Hereditary Torsion Theories and the Lattice of Natural Classes are Isomorphic ⋮ Unnamed Item ⋮ Operators between classes of modules given by preradicals

Cites Work

• Torsion theories of simple type
• The lattice of pre-natural classes of modules
• On Köthe rings
• NATURAL CLASSES AND TORSION THEORIES
• The lattice of natural classes of modules
• When projective covers and injective hulls are isomorphic

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