Araştırma Makalesi
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Rings and Modules Whose Socles are Relative Ejective

Yıl 2018, , 1874 - 1877, 01.12.2018
https://doi.org/10.16984/saufenbilder.446955

Öz

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 PS
modules.

Kaynakça

  • 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.
Yıl 2018, , 1874 - 1877, 01.12.2018
https://doi.org/10.16984/saufenbilder.446955

Öz

Kaynakça

  • 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.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Nuray Eroğlu 0000-0002-0780-2247

Yayımlanma Tarihi 1 Aralık 2018
Gönderilme Tarihi 23 Temmuz 2018
Kabul Tarihi 27 Eylül 2018
Yayımlandığı Sayı Yıl 2018

Kaynak Göster

APA Eroğlu, N. (2018). Rings and Modules Whose Socles are Relative Ejective. Sakarya University Journal of Science, 22(6), 1874-1877. https://doi.org/10.16984/saufenbilder.446955
AMA Eroğlu N. Rings and Modules Whose Socles are Relative Ejective. SAUJS. Aralık 2018;22(6):1874-1877. doi:10.16984/saufenbilder.446955
Chicago Eroğlu, Nuray. “Rings and Modules Whose Socles Are Relative Ejective”. Sakarya University Journal of Science 22, sy. 6 (Aralık 2018): 1874-77. https://doi.org/10.16984/saufenbilder.446955.
EndNote Eroğlu N (01 Aralık 2018) Rings and Modules Whose Socles are Relative Ejective. Sakarya University Journal of Science 22 6 1874–1877.
IEEE N. Eroğlu, “Rings and Modules Whose Socles are Relative Ejective”, SAUJS, c. 22, sy. 6, ss. 1874–1877, 2018, doi: 10.16984/saufenbilder.446955.
ISNAD Eroğlu, Nuray. “Rings and Modules Whose Socles Are Relative Ejective”. Sakarya University Journal of Science 22/6 (Aralık 2018), 1874-1877. https://doi.org/10.16984/saufenbilder.446955.
JAMA Eroğlu N. Rings and Modules Whose Socles are Relative Ejective. SAUJS. 2018;22:1874–1877.
MLA Eroğlu, Nuray. “Rings and Modules Whose Socles Are Relative Ejective”. Sakarya University Journal of Science, c. 22, sy. 6, 2018, ss. 1874-7, doi:10.16984/saufenbilder.446955.
Vancouver Eroğlu N. Rings and Modules Whose Socles are Relative Ejective. SAUJS. 2018;22(6):1874-7.

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