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All Journal Journal of the Indonesian Mathematical Society
Pudji Astuti
Institut Teknologi Bandung
Mathematics

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The Characterization of Almost Prime Submodule on the Finitely Generated Module over Principal Ideal Domain I Gede Adhitya Wisnu Wardhana; Pudji Astuti; Intan Muchtadi-Alamsyah
Journal of the Indonesian Mathematical Society VOLUME 30 NUMBER 1 (MARCH 2024)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.30.1.1396.63-76

Abstract

In most cases, almost prime submodules are equivalent to prime submodules, but in a finitely generated module, it is not necessarily equivalent. Based on the fact that a finitely generated module over a principal ideal domain can be decomposed into a free part and a torsion part, we give a new approach to the characteristic of almost prime submodules in the finitely generated module, especially we point out the cases when the submodules are almost prime but not prime.
Co-Authors I Gede Adhitya Wisnu Wardhana Intan Muchtadi-Alamsyah