EN
r-Small Submodules
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
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.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Conference Paper
Publication Date
December 15, 2020
Submission Date
August 9, 2020
Acceptance Date
September 29, 2020
Published in Issue
Year 2020 Volume: 3 Number: 1
APA
Nebiyev, C., & Ökten, H. H. (2020). r-Small Submodules. Conference Proceedings of Science and Technology, 3(1), 33-36. https://izlik.org/JA46JL37UP
AMA
1.Nebiyev C, Ökten HH. r-Small Submodules. Conference Proceedings of Science and Technology. 2020;3(1):33-36. https://izlik.org/JA46JL37UP
Chicago
Nebiyev, Celil, and Hasan Hüseyin Ökten. 2020. “R-Small Submodules”. Conference Proceedings of Science and Technology 3 (1): 33-36. https://izlik.org/JA46JL37UP.
EndNote
Nebiyev C, Ökten HH (December 1, 2020) r-Small Submodules. Conference Proceedings of Science and Technology 3 1 33–36.
IEEE
[1]C. Nebiyev and H. H. Ökten, “r-Small Submodules”, Conference Proceedings of Science and Technology, vol. 3, no. 1, pp. 33–36, Dec. 2020, [Online]. Available: https://izlik.org/JA46JL37UP
ISNAD
Nebiyev, Celil - Ökten, Hasan Hüseyin. “R-Small Submodules”. Conference Proceedings of Science and Technology 3/1 (December 1, 2020): 33-36. https://izlik.org/JA46JL37UP.
JAMA
1.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, Dec. 2020, pp. 33-36, https://izlik.org/JA46JL37UP.
Vancouver
1.Celil Nebiyev, Hasan Hüseyin Ökten. r-Small Submodules. Conference Proceedings of Science and Technology [Internet]. 2020 Dec. 1;3(1):33-6. Available from: https://izlik.org/JA46JL37UP