Finitely Essential Supplemented Modules

Yıl 2022, Cilt: 15 Sayı: 1, 304 - 309, 27.03.2022

Celil Nebiyev , Hasan Hüseyin Ökten

https://doi.org/10.18185/erzifbed.855458

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

• G. F. Birkenmeier, F. T. Mutlu, C. Nebiyev, N. Sokmez and A. Tercan, Goldie*-Supplemented Modules, Glasgow Mathematical Journal, 52A, 41–52 (2010).
• J. Clark, C. Lomp, N. Vanaja, R. Wisbauer, Lifting Modules Supplements and Projectivity In Module Theory, Frontiers in Mathematics, Birkhauser, Basel, 2006.
• 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).
• C. Nebiyev, H. H. Ökten and A. Pekin, Essential Supplemented Modules, International Journal of Pure and Applied Mathematics, 120 No.2, 253-257 (2018).
• C. Nebiyev, H. H. Ökten and A. Pekin, Amply Essential Supplemented Modules, Journal of Scientific Research and Reports, 21 No.4, 1-4 (2018).
• R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1991.
• H. Zöschinger, Komplementierte Moduln Über Dedekindringen, Journal of Algebra, 29, 42-56 (1974).