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Modules whose submodule lattice is lower finite

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Publication:5024534
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DOI10.1142/S0219498821502303zbMath1481.13019OpenAlexW3049015314MaRDI QIDQ5024534

Luke J. Harmon, Greg G. Oman

Publication date: 26 January 2022

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

Full work available at URL: https://doi.org/10.1142/s0219498821502303


zbMATH Keywords

latticeposetvaluation ringcommutative ringuniserial moduleArtinian moduleNoetherian moduleuniform modulequotient fieldNakayama's lemma


Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Lattices (06B99) Torsion modules and ideals in commutative rings (13C12)




Cites Work

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  • Realizing posets as prime spectra of Leavitt path algebras
  • Modules whose proper submodules are finitely generated
  • A characterization of large Dedekind domains
  • Modules with waists
  • Strongly Jónsson and strongly HS modules
  • Jónsson Modules over Noetherian Rings
  • Modules whose proper submodules are non-hopf kernels


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