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

Berna Koşar

https://izlik.org/JA92ZT58LF

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

https://izlik.org/JA92ZT58LF

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 Conference Paper
Authors

Berna Koşar

Acceptance Date September 29, 2020
Publication Date December 15, 2020
IZ https://izlik.org/JA92ZT58LF
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. https://izlik.org/JA92ZT58LF
AMA 1.Koşar B. Cofinitely Weak e-Supplemented Modules. Conference Proceedings of Science and Technology. 2020;3(1):24-28. https://izlik.org/JA92ZT58LF
Chicago Koşar, Berna. 2020. “Cofinitely Weak E-Supplemented Modules”. Conference Proceedings of Science and Technology 3 (1): 24-28. https://izlik.org/JA92ZT58LF.
EndNote Koşar B (December 1, 2020) Cofinitely Weak e-Supplemented Modules. Conference Proceedings of Science and Technology 3 1 24–28.
IEEE [1]B. Koşar, “Cofinitely Weak e-Supplemented Modules”, Conference Proceedings of Science and Technology, vol. 3, no. 1, pp. 24–28, Dec. 2020, [Online]. Available: https://izlik.org/JA92ZT58LF
ISNAD Koşar, Berna. “Cofinitely Weak E-Supplemented Modules”. Conference Proceedings of Science and Technology 3/1 (December 1, 2020): 24-28. https://izlik.org/JA92ZT58LF.
JAMA 1.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, Dec. 2020, pp. 24-28, https://izlik.org/JA92ZT58LF.
Vancouver 1.Koşar B. Cofinitely Weak e-Supplemented Modules. Conference Proceedings of Science and Technology [Internet]. 2020 Dec. 1;3(1):24-8. Available from: https://izlik.org/JA92ZT58LF