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ON SOME RELATIONS BETWEEN THE LATTICES R-nat, R-conat AND R-tors AND THE RINGS THEY CHARACTERIZE

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Publication:4923185
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DOI10.1142/S0219498812502143zbMath1270.16004OpenAlexW2134030469MaRDI QIDQ4923185

Manuel G. Zorrilla-Noriega, Hugo Alberto Rincón-Mejía

Publication date: 5 June 2013

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

Full work available at URL: https://doi.org/10.1142/s0219498812502143


zbMATH Keywords

hereditary torsion theoriesperfect ringssemiartinian ringsnatural classeslattices of module classesconatural 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 lattices associated to rings with respect to a preradical ⋮ On retractability and its relationships with lattices associated to a ring




Cites Work

  • ON THE LATTICES OF NATURAL AND CONATURAL CLASSES INR-MOD
  • ON SOME LATTICES OF MODULE CLASSES
  • Unnamed Item




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