Ss-supplemented semimodules

Alwan, Ahmed H.; Sharif, Zainab R.

doi:10.47974/JIM-1524

Open Access Research Article

Ss-supplemented semimodules

^*Ahmed H. AlwanCorresponding authorahmedha_math@utq.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of Thi-QarThi-Qar, IraqView full profile → , Zainab R. Sharifzainab_raaid0.math@utq.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of Thi-QarThi-Qar, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 881–888Vol. 26Issue 5August 2023DOI: 10.47974/JIM-1524XML

Received:: 11 May 2022
Accepted:: 15 Jun 2022
Published Online:: 08 Sep 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1524
Pages:: 881–888

Abstract

A semimodule T is named ss-supplemented if all subsemimodule N of T have supplement L in T such that N ∩ L is semisimple. T is named strongly local if Rad(T) is semisimple and T is local. It is shown that every strongly local semimodule is amply ss-supplemented. If T is an ss-supplemented p-projective subtractive semimodule, at that time T is amply ss-supplemented.

Keywords

Supplemented semimodule Ss-supplemented semimodule Strongly local semimodule

Subject Classifications

16Y60

Acknowledgements

Obaid (52_icmas_h18)

References

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