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Research Article

δ-small submodule and prime modules

Authors

  • 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.

Article information

Journal

Journal of Mathematics and Statistics Studies

Volume (Issue)

4 (2)

Pages

43-48

Published

2023-04-20

How to Cite

Ahmad, B., & Majid Mohammed Abed. (2023). δ-small submodule and prime modules. Journal of Mathematics and Statistics Studies, 4(2), 43–48. https://doi.org/10.32996/jmss.2023.4.2.5

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Keywords:

Completely prime submodule, fractional submodule, δ-small submodule and strongly prime submodule