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Year 2018, Volume 22 , Issue 6, Pages 1874 - 1877 2018-12-01

Rings and Modules Whose Socles are Relative Ejective

Nuray EROĞLU [1]

Abstract

Lifting homomorphism from modules to modules or even from certain submodule to the modules have been important both in ring and module theory. In this note we study rings and modules whose socles are relative ejective. Moreover we reduce our consideration to rings and modules with injective socles which provides the dual notion to PSmodules.

Keywords

Socle, M-injective module

References

  • E. Akalan, G. F. Birkenmeier, and A. Tercan, “Goldie extending modules”, Comm. Algebra, vol. 37, no. 2, pp. 663–683, 2009.
  • K. R. Goodearl, Ring Theory, New York: Marcel Dekker, 1976.
  • A. Harmancı and P. F. Smith, “Relative injectivity and modules classes”, Comm. Algebra, vol. 20, no. 9, pp. 2471–2501, 1992.
  • W. K. Nicholson and J. F. Watters, “Rings with projective socle”, Proc. Amer. Math. Soc., vol. 102, no. 3, pp. 443–450, 1988.
  • D. W. Sharpe and P. Vámos, Injective Modules, Cambridge England: Cambridge University Press, 1972.
  • P. F. Smith “On the structure of certain PP–rings”, Math. Z., vol. 166, pp. 147–157, 1979.
  • P. F. Smith and A. Tercan “Generalizations of CS–modules”, Comm. Algebra, vol. 21, no. 6, pp. 1809–1847, 1993.
  • A. Tercan and C. C. Yücel, Module Theory, Extending Modules and Generalizations, Bassel: Birkhäuser–Springer, 2016.

Details

Primary Language en
Subjects Mathematics
Published Date December 2018
Journal Section Research Articles
Authors

Orcid: 0000-0002-0780-2247
Author: Nuray EROĞLU (Primary Author)
Institution: Tekirdag Namik Kemal University
Country: Turkey
Dates

Application Date : July 23, 2018
Acceptance Date : September 27, 2018
Publication Date : December 1, 2018

Cite

Bibtex @research article { saufenbilder446955, journal = {Sakarya University Journal of Science}, issn = {}, eissn = {2147-835X}, address = {}, publisher = {Sakarya University}, year = {2018}, volume = {22}, pages = {1874 - 1877}, doi = {10.16984/saufenbilder.446955}, title = {Rings and Modules Whose Socles are Relative Ejective}, key = {cite}, author = {Eroğlu, Nuray} }
APA Eroğlu, N . (2018). Rings and Modules Whose Socles are Relative Ejective . Sakarya University Journal of Science , 22 (6) , 1874-1877 . DOI: 10.16984/saufenbilder.446955
MLA Eroğlu, N . "Rings and Modules Whose Socles are Relative Ejective" . Sakarya University Journal of Science 22 (2018 ): 1874-1877 <http://www.saujs.sakarya.edu.tr/en/pub/issue/31266/446955>
Chicago Eroğlu, N . "Rings and Modules Whose Socles are Relative Ejective". Sakarya University Journal of Science 22 (2018 ): 1874-1877
RIS TY - JOUR T1 - Rings and Modules Whose Socles are Relative Ejective AU - Nuray Eroğlu Y1 - 2018 PY - 2018 N1 - doi: 10.16984/saufenbilder.446955 DO - 10.16984/saufenbilder.446955 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 1874 EP - 1877 VL - 22 IS - 6 SN - -2147-835X M3 - doi: 10.16984/saufenbilder.446955 UR - https://doi.org/10.16984/saufenbilder.446955 Y2 - 2018 ER -
EndNote %0 Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi Rings and Modules Whose Socles are Relative Ejective %A Nuray Eroğlu %T Rings and Modules Whose Socles are Relative Ejective %D 2018 %J Sakarya University Journal of Science %P -2147-835X %V 22 %N 6 %R doi: 10.16984/saufenbilder.446955 %U 10.16984/saufenbilder.446955
ISNAD Eroğlu, Nuray . "Rings and Modules Whose Socles are Relative Ejective". Sakarya University Journal of Science 22 / 6 (December 2018): 1874-1877 . https://doi.org/10.16984/saufenbilder.446955
AMA Eroğlu N . Rings and Modules Whose Socles are Relative Ejective. SAUJS. 2018; 22(6): 1874-1877.
Vancouver Eroğlu N . Rings and Modules Whose Socles are Relative Ejective. Sakarya University Journal of Science. 2018; 22(6): 1874-1877.
IEEE N. Eroğlu , "Rings and Modules Whose Socles are Relative Ejective", Sakarya University Journal of Science, vol. 22, no. 6, pp. 1874-1877, Dec. 2018, doi:10.16984/saufenbilder.446955
Authors of the Article
Nuray EROĞLU [1]
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