2J-Submodules and 2J- ideals in Commutative Rings


  • Doaa Sachit Mutar University of Al-Qadsiyah college of Education Depart of Mathematics
  • Farhan Dakhil Shyaa University of Al-Qadsiyah college of Education Depart of Mathematics




J-ideals, J-submodules, 2j- ideals, 2J-submodules


Let  be a commutative ring. In this paper, we introduce and study the concept of  -submodule. A submodule U of a A-module Tis called a -submodule) if for all  and  ∈  whenever    with   , then . In this work examine the characteristics of the 2J-submodule as a generalization of the J-submodule. This paper provides various characterizations and properties of - submodule.


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How to Cite

Sachit Mutar, D., & Dakhil Shyaa, F. (2024). 2J-Submodules and 2J- ideals in Commutative Rings. Journal of Al-Qadisiyah for Computer Science and Mathematics, 16(2), Math. 11–18. https://doi.org/10.29304/jqcsm.2024.16.21535



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