Conference Paper
BibTex RIS Cite

Year 2020, Volume: 3 Issue: 1, 33 - 36, 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 C. Nebiyev, A. Pancar, On Supplement Submodules, Ukrainian Math. J., 65(7) (2013), 1071-1078.
  • 3 W. Xue, Characterizations of Semiperfect and Perfect Rings, Publ. Matematiques, 40 (1996), 115-125.
  • 4 Y. Wang, N. Ding, Generalized Supplemented Modules, Taiwanese J. of Math., 10(6) (2006), 1589-1601.
  • 5 R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1991.
  • 6 H. Zöschinger, Komplementierte Moduln Über Dedekindringen, J. of Algebra, 29 (1974), 42-56.

r-Small Submodules

Year 2020, Volume: 3 Issue: 1, 33 - 36, 15.12.2020

Celil Nebiyev , Hasan Hüseyin Ökten

Abstract

In this work, every ring have unity and every module is unital left module. Let M be an R-module and N < M. If N < RadM, then N is called a radical small (or briefly r-small) submodule of M and denoted by N 

Keywords

Small Submodules Maximal Submodules Radical

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 C. Nebiyev, A. Pancar, On Supplement Submodules, Ukrainian Math. J., 65(7) (2013), 1071-1078.
  • 3 W. Xue, Characterizations of Semiperfect and Perfect Rings, Publ. Matematiques, 40 (1996), 115-125.
  • 4 Y. Wang, N. Ding, Generalized Supplemented Modules, Taiwanese J. of Math., 10(6) (2006), 1589-1601.
  • 5 R. Wisbauer, Foundations of Module and Ring Theory, Gordon and Breach, Philadelphia, 1991.
  • 6 H. Zöschinger, Komplementierte Moduln Über Dedekindringen, J. of Algebra, 29 (1974), 42-56.
There are 6 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Celil Nebiyev

Hasan Hüseyin Ökten

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). r-Small Submodules. Conference Proceedings of Science and Technology, 3(1), 33-36.
AMA Nebiyev C, Ökten HH. r-Small Submodules. Conference Proceedings of Science and Technology. December 2020;3(1):33-36.
Chicago Nebiyev, Celil, and Hasan Hüseyin Ökten. “R-Small Submodules”. Conference Proceedings of Science and Technology 3, no. 1 (December 2020): 33-36.
EndNote Nebiyev C, Ökten HH (December 1, 2020) r-Small Submodules. Conference Proceedings of Science and Technology 3 1 33–36.
IEEE C. Nebiyev and H. H. Ökten, “r-Small Submodules”, Conference Proceedings of Science and Technology, vol. 3, no. 1, pp. 33–36, 2020.
ISNAD Nebiyev, Celil - Ökten, Hasan Hüseyin. “R-Small Submodules”. Conference Proceedings of Science and Technology 3/1 (December 2020), 33-36.
JAMA Nebiyev C, Ökten HH. r-Small Submodules. Conference Proceedings of Science and Technology. 2020;3:33–36.
MLA Nebiyev, Celil and Hasan Hüseyin Ökten. “R-Small Submodules”. Conference Proceedings of Science and Technology, vol. 3, no. 1, 2020, pp. 33-36.
Vancouver Nebiyev C, Ökten HH. r-Small Submodules. Conference Proceedings of Science and Technology. 2020;3(1):33-6.
 Download Cover Image