Featured FZ-Modules with studying some related results

Muheyaddin, Shaymaa A.; Abdulrazzaq, Rafah Alaa; Shihab, Buthyna Najad; Khalaf, Hatam Y.

doi:10.47974/JDMSC-2355

Open Access Research Article

Featured FZ-Modules with studying some related results

^*Shaymaa A. MuheyaddinCorresponding authorshaymaa.a.k@kus.edu.iqDepartment of Control and Internal Auditing Al-Karkh University of Sciences Baghdad, IraqView full profile → , Rafah Alaa Abdulrazzaqrafah.alaa@kus.edu.iqDepartment of Control and Internal Auditing Al-Karkh University of SciencesBaghdad, IraqView full profile → , Buthyna Najad Shihabbothaina.n.s@ihcoedu.uobaghdad.edu.iqDepartment of Mathematics College of Education for Pure Science (Ibn Al-Haitham) University of BaghdadBaghdad, 10071, IraqView full profile → , Hatam Y. Khalafhatim.y.k@ihcoedu.uobaghdad.edu.iqDepartment of Mathematics College of Education for Pure Science (Ibn Al-Haitham) University of BaghdadBaghdad, 10071, IraqView full profile →

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pp. 1933–1938Vol. 29Issue 5May 2026DOI: 10.47974/JDMSC-2355 Crossmark XML

Received:: 01 May 2025
Published Online:: 22 May 2026
Article type:: Research Article
Language:: EN
Article no.:: JDMSC-2355
Pages:: 1933–1938

Abstract

In this research, a new type of fuzzy modules, namely the featured fuzzy modules, has been studied. This concept is defined in terms of the fuzzy ideal derived from the ring. It is characterized by the condition that the fuzzy ideal of the ring equals zero. This model represents a novel approach to fuzzy modules, which has not been previously explored. All the results presented are original and were derived from foundational concepts, particularly fuzzy ideals in the commutative ring, to establish and develop this new concept.

Keywords

Featured FZ-modules Modules Fuzzy simple Fuzz torsion free Fuzzy ideal FZ-submodules

Subject Classifications

13D07

References

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