Supplement Continuous and Quasi-Supplement Continuous Modules

Authors

  • Sarah Hassan Ali Department of Mathematics, College of Education, AL- Mustansiriyah University, Baghdad, Iraq https://orcid.org/0009-0006-1796-7279
  • Mahdi Saleh Nayef Department of Mathematics, College of Education, AL- Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2024.65.10.24

Keywords:

Extending Modules, Supplement Extending Modules, P_1-Modules, P_2-Modules, P_3-module, supplement continuous Modules, quasi-supplement continuous Modules

Abstract

In this research, we introduce the concepts of -module where (i=1,2,3), as proper generalizations of -conditions, where (i=1,2,3). The relationships between these concepts and previous ones were explained, and a comprehensive description of each was provided. Additionally, by relying on -module, new concepts were developed, such as supplement continuous and quasi-supplement continuous, which represent generalizations of continuous and quasi-continuous. Illustrative examples were provided, and the possibility of their inheritance was discussed.

 

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Published

2024-10-30

Issue

Section

Mathematics

How to Cite

Supplement Continuous and Quasi-Supplement Continuous Modules. (2024). Iraqi Journal of Science, 65(10), 5610-5616. https://doi.org/10.24996/ijs.2024.65.10.24

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