Rings for Which the Lattice of Hereditary Torsion Theories and the Lattice of Natural Classes are Isomorphic

DOI10.1080/00927872.2012.689589zbMath1290.16007OpenAlexW2088417118MaRDI QIDQ2855406

Hugo Alberto Rincón-Mejía, Alejandro Alvarado García, César Cejudo Castilla, Ivan Fernando Vilchis-Montalvo

Publication date: 25 October 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.689589

zbMATH Keywords

hereditary torsion theorieslattice isomorphismssemiartinian ringsnatural classeslattices of torsion theorieslattices of module classes

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Structure theory of lattices (06B05) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (2)

On natural sets on an idiom ⋮ Operators between classes of modules given by preradicals

Cites Work

• Unnamed Item
• The lattice of pre-natural classes of modules
• ON THE LATTICES OF NATURAL AND CONATURAL CLASSES INR-MOD
• Relative chain conditions and module classes
• ON SOME LATTICES OF MODULE CLASSES
• On Direct Sums of Injective Modules and Chain Conditions
• The lattice of natural classes of modules

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