a - Small and S - Large Submodules


Abstract in English

Our main goal in this research is to find the conditions which make the a - small submodules are equivalent with small submodules and so s- large submodules with large submodules, then find the relatio -nship between the radical of module and the a - small submodules.

References used

Amini B. & Ershad M. & Sharif H: "Co-Retractable Modules", J. Aust. Math. Soc. V. 86, No.3., (2009). P. 289 – 304
Hamza H : " Regularity and Semi-potency of Hom ", Korean J. Math. 22, (2014), No. 1, pp. 151-167
Hamza H:" (Co) Retracability and (Co) Semi-potency ", Korean J. Math. 22. (2017), No. 4, pp. 587 – 606

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