Almost Semi-extending Modules

Authors

  • Muna Abbas Ahmed Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq
  • Maysaa Riadh Abbas Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq
  • Noor Riyadh Adeeb Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.7.32

Keywords:

Extending modules, Purely extending modules, Almost semi-extending modules

Abstract

      Fuchs introduced purely extending modules as a generalization of extending modules. Ahmed and Abbas gave another generalization for extending modules named semi-extending modules. In this paper, two generalizations of the extending modules are combined to give another generalization. This generalization is said to be almost semi-extending. In fact, the purely extending modules lies between the extending and almost semi-extending modules. We also show that an almost semi-extending module is a proper generalization of purely extending. In addition, various examples and important properties of this class of modules are given and considered. Another characterization of almost semi-extending modules is established. Moreover, the relationships with other related concepts are studied and discussed

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Published

2022-07-31

Issue

Section

Mathematics

How to Cite

Almost Semi-extending Modules. (2022). Iraqi Journal of Science, 63(7), 3111-3119. https://doi.org/10.24996/ijs.2022.63.7.32