Hollow Modules With Respect to an Arbitrary Submodule

Authors

  • B. H. Al-Bahrani Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
  • H. S. Al-Redeeni Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq.

Keywords:

T-small submodule, T-maximal submodule, T-radical submodule

Abstract

In this paper ,we introduce hollow modules with respect to an arbitrary submodule .Let M be a non-zero module and T be a submodule of M .We say that M is aT-hollow module if every proper submodule K of M such that T ⊈ K is a T-small submodule of M .We investigate the basic properties of a T-hollow module

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Published

2022-01-12

Issue

Vol 58 No 2A (2017)

Section

Mathematics

How to Cite

[1]
B. H. Al-Bahrani and H. S. . Al-Redeeni, “Hollow Modules With Respect to an Arbitrary Submodule ”, Iraqi Journal of Science, vol. 58, no. 2A, pp. 694–698, Jan. 2022, Accessed: Dec. 07, 2025. [Online]. Available: https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/6099

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