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On QTAG -Modules Having All N -High Submodules h -Pure

Author

Listed:
  • Ayazul Hasan

    (College of Applied Industrial Technology, Jazan University, Jazan P.O. Box 2097, Saudi Arabia)

  • Jules Clement Mba

    (School of Economics, College of Business and Economics, University of Johannesburg, P.O. Box 524, Auckland Park, Johannesburg 2006, South Africa)

Abstract

The paper is concerned with h -pure- N -high submodules of Q T A G -modules. Here, we characterize the submodules N of an h -reduced Q T A G -module for which all h -pure- N -high submodules are bounded. We also discuss some interesting properties of subsocles and consequently give a characterization of the direct sum of uniserial modules.

Suggested Citation

  • Ayazul Hasan & Jules Clement Mba, 2022. "On QTAG -Modules Having All N -High Submodules h -Pure," Mathematics, MDPI, vol. 10(19), pages 1-7, September.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3523-:d:926958
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    References listed on IDEAS

    as
    1. Surjeet Singh & Mohd Z. Khan, 1998. "Tag-modules with complement submodules H -pure," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 21, pages 1-14, January.
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