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〖FI〗_ss-Lifting Modules

Cilt: 14 Sayı: 2 18 Haziran 2024
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〖FI〗_ss-Lifting Modules

Öz

The purpose of this note is to show some key features of 〖FI〗_ss-lifting and strongly 〖FI〗_ss-lifting modules. We examine that under whose condition for direct summands, direct sums and submodules of (strongly) 〖FI〗_ss-lifting modules are (strongly) 〖FI〗_ss-lifting. We give an example to exhibit that an FI-lifting module needs not to be 〖FI〗_ss-lifting. We provide that the property of being strongly 〖FI〗_ss-lifting module is inherited by direct summands.

Anahtar Kelimeler

ss-supplement submodule, 〖FI〗_ss-lifting module, strongly 〖FI〗_ss-lifting module

Kaynakça

  1. Birkenmeier, G. F., Müller, B. J., Rizvi, S. T., (2002). Modules in Which Every Fully Invariant Submodule is Essential in a Direct Summand. Communications in Algebra, 30(3), 1395-1415.
  2. Clark, J., Lomp, C., Vanaja, N., Wisbauer, R., (2006). Lifting modules. Birkhauser, Verlag-Basel: Frontiers In Mathematics.
  3. Eryılmaz, F., (2021). ss-Lifting Modules and Rings. Miskolc Mathematical Notes, 22(2), 655-662.
  4. Garcia, J. L., (1989). Properties of Direct Summands of Modules. Communications in Algebra, 17(1), 73-92.
  5. Kasch, F., (1982). Modules and rings. Teubner: Published for the London Mathematical Society by Academic Press.
  6. Kaynar, E., Çalışıcı, H., Türkmen, E., (2020). ss-Supplemented Modules. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69 (1), 473-485.
  7. Koşan, M. T., (2005). The Lifting Condition and Fully Invariant Submodules. East-West Journal of Mathematics, 7(1), 99-106.
  8. Nişancı Türkmen, B., (2020). Weak ss-Lifting Modules. American Scientific Research Journal for Engineering, Technology and Sciences, 74(1), 232-236.
  9. Özcan, A. Ç., Harmancı, A., Smith, P. F., (2006). Duo Modules. Glasgow Mathematical Journal, 48(3), 533-545.
  10. Öztürk Sözen, E. (2020). Bol e-Tümlenmiş Modüllere ve e-Yükseltilebilir Modüllere Torsiyon-Teorik Bir Yaklaşım. Erzincan University Journal of Science and Technology, 13(2), 592-599.

Kaynak Göster

APA
Önal Kır, E. (2024). 〖FI〗_ss-Lifting Modules. Karadeniz Fen Bilimleri Dergisi, 14(2), 391-402. https://doi.org/10.31466/kfbd.1223520
AMA
1.Önal Kır E. 〖FI〗_ss-Lifting Modules. KFBD. 2024;14(2):391-402. doi:10.31466/kfbd.1223520
Chicago
Önal Kır, Emine. 2024. “〖FI〗_ss-Lifting Modules”. Karadeniz Fen Bilimleri Dergisi 14 (2): 391-402. https://doi.org/10.31466/kfbd.1223520.
EndNote
Önal Kır E (01 Haziran 2024) 〖FI〗_ss-Lifting Modules. Karadeniz Fen Bilimleri Dergisi 14 2 391–402.
IEEE
[1]E. Önal Kır, “〖FI〗_ss-Lifting Modules”, KFBD, c. 14, sy 2, ss. 391–402, Haz. 2024, doi: 10.31466/kfbd.1223520.
ISNAD
Önal Kır, Emine. “〖FI〗_ss-Lifting Modules”. Karadeniz Fen Bilimleri Dergisi 14/2 (01 Haziran 2024): 391-402. https://doi.org/10.31466/kfbd.1223520.
JAMA
1.Önal Kır E. 〖FI〗_ss-Lifting Modules. KFBD. 2024;14:391–402.
MLA
Önal Kır, Emine. “〖FI〗_ss-Lifting Modules”. Karadeniz Fen Bilimleri Dergisi, c. 14, sy 2, Haziran 2024, ss. 391-02, doi:10.31466/kfbd.1223520.
Vancouver
1.Emine Önal Kır. 〖FI〗_ss-Lifting Modules. KFBD. 01 Haziran 2024;14(2):391-402. doi:10.31466/kfbd.1223520