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On pseudocomplements and supplements in the big lattice of preradicals

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Publication:2874707
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DOI10.1142/S0219498814500431zbMath1307.16026MaRDI QIDQ2874707

Hugo Alberto Rincón-Mejía, Martha Lizbeth Shaid Sandoval-Miranda

Publication date: 8 August 2014

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


zbMATH Keywords

supplementsbig lattices of preradicalspseudocomplementsessential preradicalssuperfluous preradicals


Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories, radicals (18E40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) General radicals and associative rings (16N80) Lattices (06B99) Torsion theory for commutative rings (13D30)


Related Items (1)

On compactness and cocompactness conditions for R-tors, R-pr and (big) lattices of classes of modules




Cites Work

  • Unnamed Item
  • Exercises in classical ring theory.
  • The lattice structure of preradicals. III: Operators.
  • Lattice Theory: Foundation
  • BASIC PRERADICALS AND MAIN INJECTIVE MODULES
  • On some classes ofR-modules and congruences inR-tors
  • THE LATTICE STRUCTURE OF PRERADICALS II: PARTITIONS
  • Rings and modules of quotients




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