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Year 2020, Volume: 3 Issue: 1, 37 - 41, 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, H. H. Ökten, Essential g-Supplemented Modules, Turkish St. Inf. Tech. and Appl. Sci., 14(1) (2019), 83-89.
  • 5 C. Nebiyev, H. H. Ökten, A. Pekin, Essential Supplemented Modules, Int. J. of Pure and Appl. Math., 120(2) (2018), 253-257.
  • 6 C. Nebiyev, H. H. Ökten, A. Pekin, Amply Essential Supplemented Modules, J. of Sci. Res. and Rep., 21(4) (2018), 1-4.
  • 7 W. Xue, Characterizations of Semiperfect and Perfect Rings, Publ. Mat., 40 (1996), 115-125.
  • 8 Y. Wang, N. Ding, Generalized Supplemented Modules, Taiwanese J. of Math., 10(6) (2006), 1589-1601.
  • 9 R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1991.

eg-Radical Supplemented Modules

Year 2020, Volume: 3 Issue: 1, 37 - 41, 15.12.2020

Celil Nebiyev , Hasan Hüseyin Ökten

Abstract

In this work, R will denote an associative ring with unity and all module are unital left R-modules. Let M be an R-module. If every essential submodule of M has a g-radical supplement in M, then M is called an essential g-radical supplemented (or briefly eg-radical supplemented) module. In this work, some properties of these modules are investigated.

Keywords

Essential Submodules g-Small Submodules Generalized Radical 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, H. H. Ökten, Essential g-Supplemented Modules, Turkish St. Inf. Tech. and Appl. Sci., 14(1) (2019), 83-89.
  • 5 C. Nebiyev, H. H. Ökten, A. Pekin, Essential Supplemented Modules, Int. J. of Pure and Appl. Math., 120(2) (2018), 253-257.
  • 6 C. Nebiyev, H. H. Ökten, A. Pekin, Amply Essential Supplemented Modules, J. of Sci. Res. and Rep., 21(4) (2018), 1-4.
  • 7 W. Xue, Characterizations of Semiperfect and Perfect Rings, Publ. Mat., 40 (1996), 115-125.
  • 8 Y. Wang, N. Ding, Generalized Supplemented Modules, Taiwanese J. of Math., 10(6) (2006), 1589-1601.
  • 9 R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1991.
There are 9 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Conference Paper
Authors

Celil Nebiyev

Hasan Hüseyin Ökten

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

Cite

APA Nebiyev, C., & Ökten, H. H. (2020). eg-Radical Supplemented Modules. Conference Proceedings of Science and Technology, 3(1), 37-41. https://izlik.org/JA92TW46MW
AMA 1.Nebiyev C, Ökten HH. eg-Radical Supplemented Modules. Conference Proceedings of Science and Technology. 2020;3(1):37-41. https://izlik.org/JA92TW46MW
Chicago Nebiyev, Celil, and Hasan Hüseyin Ökten. 2020. “Eg-Radical Supplemented Modules”. Conference Proceedings of Science and Technology 3 (1): 37-41. https://izlik.org/JA92TW46MW.
EndNote Nebiyev C, Ökten HH (December 1, 2020) eg-Radical Supplemented Modules. Conference Proceedings of Science and Technology 3 1 37–41.
IEEE [1]C. Nebiyev and H. H. Ökten, “eg-Radical Supplemented Modules”, Conference Proceedings of Science and Technology, vol. 3, no. 1, pp. 37–41, Dec. 2020, [Online]. Available: https://izlik.org/JA92TW46MW
ISNAD Nebiyev, Celil - Ökten, Hasan Hüseyin. “Eg-Radical Supplemented Modules”. Conference Proceedings of Science and Technology 3/1 (December 1, 2020): 37-41. https://izlik.org/JA92TW46MW.
JAMA 1.Nebiyev C, Ökten HH. eg-Radical Supplemented Modules. Conference Proceedings of Science and Technology. 2020;3:37–41.
MLA Nebiyev, Celil, and Hasan Hüseyin Ökten. “Eg-Radical Supplemented Modules”. Conference Proceedings of Science and Technology, vol. 3, no. 1, Dec. 2020, pp. 37-41, https://izlik.org/JA92TW46MW.
Vancouver 1.Nebiyev C, Ökten HH. eg-Radical Supplemented Modules. Conference Proceedings of Science and Technology [Internet]. 2020 Dec. 1;3(1):37-41. Available from: https://izlik.org/JA92TW46MW