Araştırma Çıktıları / Research Outputs by Institution Author "Aghayev, Nazım"

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Modules Which are Reduced Over Their Endomorphism Rings

Aghayev, Nazım; Halıcıoğlu, Sait; Harmancı, Abdullah; Üngör, Burcu (The Mathematical Association of Thailand, 2015)

Let R be an arbitrary ring with identity and M a right R-module with S = EndR(M). The module M is called reduced if for any m ∈ M and f ∈ S, fm = 0 implies fM ∩ Sm = 0. In this paper, we investigate properties of ...
On a Generalization of Semisimple Modules

Aghayev, Nazım; Çelik, Cesim; Özen, Tahire (Springer, 2018)

Let R be a ring with identity. A module MR is called an r-semisimple module if for any right ideal I of R, MI is a direct summand of MR which is a generalization of semisimple and second modules.We investigate when an ...