On Weakly Second Submodules

Zainab Saadi; Ghaleb Ahmed

doi:10.24996/ijs.2019.60.8.16

Authors

Zainab Saadi Department of Mathematics, College of Education for Pure Science, University of Baghdad, Ibn-Al-Haitham, Baghdad, Iraq
Ghaleb Ahmed Department of Mathematics, College of Education for Pure Science, University of Baghdad, Ibn-Al-Haitham, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2019.60.8.16

Keywords:

weakly second submodules, S-weakly second submodules, weakly secondary submodules, second submodules, secondary submodules

Abstract

Let be a non-zero right module over a ring with identity. The weakly second submodules is studied in this paper. A non-zero submodule of is weakly second Submodule when , where , and is a submodule of implies either or . Some connections between these modules and other related modules are investigated and number of conclusions and characterizations are gained.