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δ-small submodule and prime modules

Author

Listed:
  • Bashaer Ahmad

    (Department of mathematics, College of Education for Pure Sciences, University of Anbar, Anbar, Iraq)

  • Majid Mohammed Abed

    (Department of mathematics, College of Education for Pure Sciences, University of Anbar, Anbar, Iraq)

Abstract

In this paper, we introduced and studied δ-small submodule over prime module. Two concepts are very important namely strongly prime submodule and completely prime submodule. Multiple results led to obtaining a δ-small submodule of a singular, divisible and Bezout module with R is local. Important terms that appeared in this article, together with some terms, produced the submodule that we were interested in.

Suggested Citation

  • Bashaer Ahmad & Majid Mohammed Abed, 2023. "δ-small submodule and prime modules," Journal of Mathematics and Statistics Studies, Al-Kindi Center for Research and Development., vol. 4(2), pages 43-48, April.
    • Handle: RePEc:alk:jmss00:v:4:y:2023:i:2:id:5142
    DOI: 10.32996/jmss.2023.4.2.5
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