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Some Properties of r-Small Submodules

Cilt: 15 Sayı: 3 30 Aralık 2022
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Some Properties of r-Small Submodules

Öz

In this work, some properties of r-small submodules are investigated. It is proved that the finite sum of r-small submodules is r-small. It is also proved that every homomorphic image of an r-small submodule is r-small.

Anahtar Kelimeler

Kaynakça

  1. Birkenmeier, G. F., Mutlu, F. T., Nebiyev, C., Sokmez, N., Tercan, A. 2010. "Goldie*-Supplemented Modules", Glasgow Mathematical Journal, 52A, 41–52.
  2. Clark, J., Lomp, C., Vanaja, N., Wisbauer, R. (2006). "Lifting Modules Supplements and Projectivity In Module Theory", Frontiers in Mathematics, Birkhauser, Basel.
  3. Nebiyev, C., Ökten, H. H. 2020. "r-Small Submodules", 3rd International E-Conference on Mathematical Advances and Applications (ICOMAA-2020), Yıldız Technical University, Istanbul-Turkey.
  4. Nebiyev, C., Pancar, A. 2013. "On Supplement Submodules", Ukrainian Mathematical Journal, 65(7), 1071-1078.
  5. Xue, W. 1996. "Characterizations of Semiperfect and Perfect Rings", Publications Matematiques, 40, 115-125.
  6. Wang, Y., Ding, N. 2006. "Generalized Supplemented Modules", Taiwanese Journal of Mathematics, 10(6), 1589-1601.
  7. Wisbauer, R. 1991. "Foundations of Module and Ring Theory", Gordon and Breach, Philadelphia.
  8. Zöschinger, H. 1974. "Komplementierte Moduln Über Dedekindringen", Journal of Algebra, 29, 42-56.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2022

Gönderilme Tarihi

8 Şubat 2021

Kabul Tarihi

3 Kasım 2021

Yayımlandığı Sayı

Yıl 2022 Cilt: 15 Sayı: 3

Kaynak Göster

APA
Nebiyev, C., & Ökten, H. H. (2022). Some Properties of r-Small Submodules. Erzincan University Journal of Science and Technology, 15(3), 996-1001. https://doi.org/10.18185/erzifbed.876557
AMA
1.Nebiyev C, Ökten HH. Some Properties of r-Small Submodules. Erzincan University Journal of Science and Technology. 2022;15(3):996-1001. doi:10.18185/erzifbed.876557
Chicago
Nebiyev, Celil, ve Hasan Hüseyin Ökten. 2022. “Some Properties of r-Small Submodules”. Erzincan University Journal of Science and Technology 15 (3): 996-1001. https://doi.org/10.18185/erzifbed.876557.
EndNote
Nebiyev C, Ökten HH (01 Aralık 2022) Some Properties of r-Small Submodules. Erzincan University Journal of Science and Technology 15 3 996–1001.
IEEE
[1]C. Nebiyev ve H. H. Ökten, “Some Properties of r-Small Submodules”, Erzincan University Journal of Science and Technology, c. 15, sy 3, ss. 996–1001, Ara. 2022, doi: 10.18185/erzifbed.876557.
ISNAD
Nebiyev, Celil - Ökten, Hasan Hüseyin. “Some Properties of r-Small Submodules”. Erzincan University Journal of Science and Technology 15/3 (01 Aralık 2022): 996-1001. https://doi.org/10.18185/erzifbed.876557.
JAMA
1.Nebiyev C, Ökten HH. Some Properties of r-Small Submodules. Erzincan University Journal of Science and Technology. 2022;15:996–1001.
MLA
Nebiyev, Celil, ve Hasan Hüseyin Ökten. “Some Properties of r-Small Submodules”. Erzincan University Journal of Science and Technology, c. 15, sy 3, Aralık 2022, ss. 996-1001, doi:10.18185/erzifbed.876557.
Vancouver
1.Celil Nebiyev, Hasan Hüseyin Ökten. Some Properties of r-Small Submodules. Erzincan University Journal of Science and Technology. 01 Aralık 2022;15(3):996-1001. doi:10.18185/erzifbed.876557

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