Finitely Essential Supplemented Modules

Öz

In this work, finitely essential supplemented modules are defined and some properties of these modules are investigated. Let M be a finitely essential supplemented module. If M is noetherian, then M is essential supplemented.

Anahtar Kelimeler

• Small Submodules
• Radical
• Essential Submodules
• Supplemented Modules

Kaynakça

1. G. F. Birkenmeier, F. T. Mutlu, C. Nebiyev, N. Sokmez and A. Tercan, Goldie*-Supplemented Modules, Glasgow Mathematical Journal, 52A, 41–52 (2010).
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3. C. Nebiyev and H. H. Ökten, Finitely e-Supplemented Modules, Presented in 9th International Eurasian Conference on Mathematical Sciences and Applications, Scopje-North Macedonia, (2020).
4. C. Nebiyev, H. H. Ökten and A. Pekin, Essential Supplemented Modules, International Journal of Pure and Applied Mathematics, 120 No.2, 253-257 (2018).
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6. R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1991.
7. H. Zöschinger, Komplementierte Moduln Über Dedekindringen, Journal of Algebra, 29, 42-56 (1974).