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Year 2020, Volume: 3 Issue: 1, 24 - 28, 15.12.2020

Berna Koşar

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 R. Alizade, E. Büyükas ̧ık, Cofinitely Weak Supplemented Modules, Comm. in Algebra, 31(11) (2003), 5377-5390.
  • 3 J. Clark, C. Lomp, N. Vanaja, R. Wisbauer, Lifting Modules Supplements and Projectivity In Module Theory, Frontiers in Mathematics, Birkhauser, Basel, 2006.
  • 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, Amply Cofinitely Essential Supplemented Modules, Arch. of Curr. Res. Int., 19(1) (2019), 1-4.
  • 6 C. Nebiyev, B. Kos ̧ar, Weakly Essential Supplemented Modules, Turkish St. Inf. Tech. and Appl. Sci., 13(29) (2018), 89-94.
  • 7 C. Nebiyev, H. H. Ökten, A. Pekin, Essential Supplemented Modules, Int. J. of Pure and Appl. Math., 120(2) (2018), 253-257.
  • 8 C. Nebiyev, H. H. Ökten, A. Pekin, Amply Essential Supplemented Modules, J. of Sci. Res. and Reports, 21(4) (2018), 1-4.
  • 9 R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1991.

Cofinitely Weak e-Supplemented Modules

Year 2020, Volume: 3 Issue: 1, 24 - 28, 15.12.2020

Berna Koşar

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 cofinite essential submodule of M has a weak supplement in M, then M is called a cofinitely weak esupplemented (or briefly cwe-supplemented) module. In this work, some properties of these modules are investigated. Every cofinitely essential supplemented module is cwe-supplemented. Every essential supplemented module is cwe-supplemented. Every weakly essential supplemented module is cwe-supplemented. Every finitely generated cwe-supplemented module is weakly essential supplemented. Every cofinitely weak supplemented module is cwe-supplemented.

Keywords

Cofinite Submodules Essential Submodules Small Submodules 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 R. Alizade, E. Büyükas ̧ık, Cofinitely Weak Supplemented Modules, Comm. in Algebra, 31(11) (2003), 5377-5390.
  • 3 J. Clark, C. Lomp, N. Vanaja, R. Wisbauer, Lifting Modules Supplements and Projectivity In Module Theory, Frontiers in Mathematics, Birkhauser, Basel, 2006.
  • 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, Amply Cofinitely Essential Supplemented Modules, Arch. of Curr. Res. Int., 19(1) (2019), 1-4.
  • 6 C. Nebiyev, B. Kos ̧ar, Weakly Essential Supplemented Modules, Turkish St. Inf. Tech. and Appl. Sci., 13(29) (2018), 89-94.
  • 7 C. Nebiyev, H. H. Ökten, A. Pekin, Essential Supplemented Modules, Int. J. of Pure and Appl. Math., 120(2) (2018), 253-257.
  • 8 C. Nebiyev, H. H. Ökten, A. Pekin, Amply Essential Supplemented Modules, J. of Sci. Res. and Reports, 21(4) (2018), 1-4.
  • 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 Articles
Authors

Berna Koşar

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

Cite

APA Koşar, B. (2020). Cofinitely Weak e-Supplemented Modules. Conference Proceedings of Science and Technology, 3(1), 24-28.
AMA Koşar B. Cofinitely Weak e-Supplemented Modules. Conference Proceedings of Science and Technology. December 2020;3(1):24-28.
Chicago Koşar, Berna. “Cofinitely Weak E-Supplemented Modules”. Conference Proceedings of Science and Technology 3, no. 1 (December 2020): 24-28.
EndNote Koşar B (December 1, 2020) Cofinitely Weak e-Supplemented Modules. Conference Proceedings of Science and Technology 3 1 24–28.
IEEE B. Koşar, “Cofinitely Weak e-Supplemented Modules”, Conference Proceedings of Science and Technology, vol. 3, no. 1, pp. 24–28, 2020.
ISNAD Koşar, Berna. “Cofinitely Weak E-Supplemented Modules”. Conference Proceedings of Science and Technology 3/1 (December 2020), 24-28.
JAMA Koşar B. Cofinitely Weak e-Supplemented Modules. Conference Proceedings of Science and Technology. 2020;3:24–28.
MLA Koşar, Berna. “Cofinitely Weak E-Supplemented Modules”. Conference Proceedings of Science and Technology, vol. 3, no. 1, 2020, pp. 24-28.
Vancouver Koşar B. Cofinitely Weak e-Supplemented Modules. Conference Proceedings of Science and Technology. 2020;3(1):24-8.
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