δ-small submodule and prime modules

https://doi.org/10.32996/jmss.2023.4.2.5
Completely prime submodule, fractional submodule, δ-small submodule and strongly prime submodule

Authors

  • Bashaer Ahmad
    bas21u2005@uoanbar.edu.iq
    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
Vol. 4 No. 2 (2023): Journal of Mathematics and Statistics Studies
Articles
April 20, 2023

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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.