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Year 2020, Volume: 3 Issue: 1, 77 - 81, 15.12.2020

Celil Nebiyev , Hasan Hüseyin Ökten

Abstract

References

  • 1 R. Alizade, G. Bilhan, P. F. Smith, Modules whose Maximal Submodules have Supplements, Comm. in Algebra 29(6) (2001), 2389-2405.
  • 2 J. Clark, C. Lomp, N. Vanaja, R. Wisbauer, Lifting Modules Supplements and Projectivity In Module Theory, Frontiers in Mathematics, Birkhauser, Basel, 2006.
  • 3 B. Koşar, Cofinitely g-Supplemented Modules, British J. of Math. and Comp. Sci., 14(4) (2016), 1-6.
  • 4 B. Koşar, C. Nebiyev, Cofinitely Essential Supplemented Modules, Turkish St. Inf. Tech. and Appl. Sci., 13(29) (2018), 83-88.
  • 5 B. Koşar, C. Nebiyev, N. Sökmez, g-Supplemented Modules, Ukrainian Math. J., 67(6) (2015), 861-864.
  • 6 B. Koşar, C. Nebiyev, A. Pekin, A Generalization of g-Supplemented Modules, Miskolc Math. Notes, 20(1) (2019), 345-352.
  • 7 C. Nebiyev, H. H. Ökten, Essential g-Supplemented Modules, Turkish St. Inf. Tech. and Appl. Sci., 14(1) (2019), 83-89.
  • 8 C. Nebiyev, On a Generalization of Supplement Submodules, Int. J. of Pure and Appl. Math. 113 (2) (2017), 283-289.
  • 9 C. Nebiyev, H. H. Ökten, A. Pekin, Essential Supplemented Modules, Int. J. of Pure and Appl. Math., 120(2) (2018), 253-257.
  • 10 R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1991.

Cofinitely eg-Supplemented Modules

Year 2020, Volume: 3 Issue: 1, 77 - 81, 15.12.2020

Celil Nebiyev , Hasan Hüseyin Ökten

Abstract

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

Keywords

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

References

  • 1 R. Alizade, G. Bilhan, P. F. Smith, Modules whose Maximal Submodules have Supplements, Comm. in Algebra 29(6) (2001), 2389-2405.
  • 2 J. Clark, C. Lomp, N. Vanaja, R. Wisbauer, Lifting Modules Supplements and Projectivity In Module Theory, Frontiers in Mathematics, Birkhauser, Basel, 2006.
  • 3 B. Koşar, Cofinitely g-Supplemented Modules, British J. of Math. and Comp. Sci., 14(4) (2016), 1-6.
  • 4 B. Koşar, C. Nebiyev, Cofinitely Essential Supplemented Modules, Turkish St. Inf. Tech. and Appl. Sci., 13(29) (2018), 83-88.
  • 5 B. Koşar, C. Nebiyev, N. Sökmez, g-Supplemented Modules, Ukrainian Math. J., 67(6) (2015), 861-864.
  • 6 B. Koşar, C. Nebiyev, A. Pekin, A Generalization of g-Supplemented Modules, Miskolc Math. Notes, 20(1) (2019), 345-352.
  • 7 C. Nebiyev, H. H. Ökten, Essential g-Supplemented Modules, Turkish St. Inf. Tech. and Appl. Sci., 14(1) (2019), 83-89.
  • 8 C. Nebiyev, On a Generalization of Supplement Submodules, Int. J. of Pure and Appl. Math. 113 (2) (2017), 283-289.
  • 9 C. Nebiyev, H. H. Ökten, A. Pekin, Essential Supplemented Modules, Int. J. of Pure and Appl. Math., 120(2) (2018), 253-257.
  • 10 R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1991.
There are 10 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Conference Paper
Authors

Celil Nebiyev 0000-0002-7992-7225

Hasan Hüseyin Ökten 0000-0002-7886-0815

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). Cofinitely eg-Supplemented Modules. Conference Proceedings of Science and Technology, 3(1), 77-81.
AMA Nebiyev C, Ökten HH. Cofinitely eg-Supplemented Modules. Conference Proceedings of Science and Technology. December 2020;3(1):77-81.
Chicago Nebiyev, Celil, and Hasan Hüseyin Ökten. “Cofinitely Eg-Supplemented Modules”. Conference Proceedings of Science and Technology 3, no. 1 (December 2020): 77-81.
EndNote Nebiyev C, Ökten HH (December 1, 2020) Cofinitely eg-Supplemented Modules. Conference Proceedings of Science and Technology 3 1 77–81.
IEEE C. Nebiyev and H. H. Ökten, “Cofinitely eg-Supplemented Modules”, Conference Proceedings of Science and Technology, vol. 3, no. 1, pp. 77–81, 2020.
ISNAD Nebiyev, Celil - Ökten, Hasan Hüseyin. “Cofinitely Eg-Supplemented Modules”. Conference Proceedings of Science and Technology 3/1 (December2020), 77-81.
JAMA Nebiyev C, Ökten HH. Cofinitely eg-Supplemented Modules. Conference Proceedings of Science and Technology. 2020;3:77–81.
MLA Nebiyev, Celil and Hasan Hüseyin Ökten. “Cofinitely Eg-Supplemented Modules”. Conference Proceedings of Science and Technology, vol. 3, no. 1, 2020, pp. 77-81.
Vancouver Nebiyev C, Ökten HH. Cofinitely eg-Supplemented Modules. Conference Proceedings of Science and Technology. 2020;3(1):77-81.