Z-Small Quasi-Dedekind Modules

Authors

  • Farhan Dakhil Shyaa Department of Mathematics, College of Education, University of Al-Qadsiyah, Al-Qadsiyah, Iraq https://orcid.org/0000-0003-1123-1974
  • Hawraa Abd Al-Sada Department of Mathematics, College of Education, University of Al-Qadsiyah, Al-Qadsiyah, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.6.26

Keywords:

Quasi-Dedekind module, Z-small quasi-Dedekind module, Second singular submodule

Abstract

     In this paper, we define and study z-small quasi-Dedekind as a generalization of small quasi-Dedekind modules. A submodule  of -module  is called z-small (  if whenever  , then . Also,  is called a z-small quasi-Dedekind module if for all  implies  . We also describe some of their properties and characterizations. Finally, some examples are given.

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Published

2023-06-30

Issue

Vol 64 No 6 (2023)

Section

Mathematics

How to Cite

Z-Small Quasi-Dedekind Modules. (2023). Iraqi Journal of Science, 64(6), 2982-2990. https://doi.org/10.24996/ijs.2023.64.6.26
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