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Year 2020, Volume: 3 Issue: 1, 82 - 86, 15.12.2020

Celil Nebiyev , Hasan Hüseyin Ökten

Abstract

References

  • 1 J. Clark, C. Lomp, N. Vanaja, R. Wisbauer, Lifting Modules Supplements and Projectivity In Module Theory, Frontiers in Mathematics, Birkhauser, Basel, 2006.
  • 2 B. Koşar, C. Nebiyev, N. Sökmez, g-Supplemented Modules, Ukrainian Math. J., 67(6) (2015), 861-864.
  • 3 B. Koşar, C. Nebiyev, A. Pekin, A Generalization of g-Supplemented Modules, Miskolc Math. Notes, 20(1) (2019), 345-352.
  • 4 C. Nebiyev, On a Generalization of Supplement Submodules, Int. J. of Pure and Appl. Math. 113 (2) (2017), 283-289.
  • 5 R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1991.
  • 6 D. X. Zhou, X. R. Zhang, Small-Essential Submodules and Morita Duality, Southeast Asian Bull. of Math., 35 (2011), 1051-1062.

Finitely g-Supplemented Modules

Year 2020, Volume: 3 Issue: 1, 82 - 86, 15.12.2020

Celil Nebiyev , Hasan Hüseyin Ökten

Abstract

Let M be an R-module. If every finitely generated submodule of M has a g-supplement in M, then M is called a finitely g-supplemented (or briefly fg-supplemented) module. In this work, some properties of these modules are investigated.

Keywords

Essential Submodules g-Small Submodules Supplemented Modules g-Supplemented Modules

References

  • 1 J. Clark, C. Lomp, N. Vanaja, R. Wisbauer, Lifting Modules Supplements and Projectivity In Module Theory, Frontiers in Mathematics, Birkhauser, Basel, 2006.
  • 2 B. Koşar, C. Nebiyev, N. Sökmez, g-Supplemented Modules, Ukrainian Math. J., 67(6) (2015), 861-864.
  • 3 B. Koşar, C. Nebiyev, A. Pekin, A Generalization of g-Supplemented Modules, Miskolc Math. Notes, 20(1) (2019), 345-352.
  • 4 C. Nebiyev, On a Generalization of Supplement Submodules, Int. J. of Pure and Appl. Math. 113 (2) (2017), 283-289.
  • 5 R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1991.
  • 6 D. X. Zhou, X. R. Zhang, Small-Essential Submodules and Morita Duality, Southeast Asian Bull. of Math., 35 (2011), 1051-1062.
There are 6 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Celil Nebiyev 0000-0002-7992-7225

Hasan Hüseyin Ökten 0000-0002-7886-0815

Publication Date December 15, 2020
Acceptance Date September 29, 2020
Published in Issue Year 2020 Volume: 3 Issue: 1

Cite

APA Nebiyev, C., & Ökten, H. H. (2020). Finitely g-Supplemented Modules. Conference Proceedings of Science and Technology, 3(1), 82-86.
AMA Nebiyev C, Ökten HH. Finitely g-Supplemented Modules. Conference Proceedings of Science and Technology. December 2020;3(1):82-86.
Chicago Nebiyev, Celil, and Hasan Hüseyin Ökten. “Finitely G-Supplemented Modules”. Conference Proceedings of Science and Technology 3, no. 1 (December 2020): 82-86.
EndNote Nebiyev C, Ökten HH (December 1, 2020) Finitely g-Supplemented Modules. Conference Proceedings of Science and Technology 3 1 82–86.
IEEE C. Nebiyev and H. H. Ökten, “Finitely g-Supplemented Modules”, Conference Proceedings of Science and Technology, vol. 3, no. 1, pp. 82–86, 2020.
ISNAD Nebiyev, Celil - Ökten, Hasan Hüseyin. “Finitely G-Supplemented Modules”. Conference Proceedings of Science and Technology 3/1 (December 2020), 82-86.
JAMA Nebiyev C, Ökten HH. Finitely g-Supplemented Modules. Conference Proceedings of Science and Technology. 2020;3:82–86.
MLA Nebiyev, Celil and Hasan Hüseyin Ökten. “Finitely G-Supplemented Modules”. Conference Proceedings of Science and Technology, vol. 3, no. 1, 2020, pp. 82-86.
Vancouver Nebiyev C, Ökten HH. Finitely g-Supplemented Modules. Conference Proceedings of Science and Technology. 2020;3(1):82-6.
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