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ON S-EXTENDING MODULES

Yıl 2020, , 102 - 113, 07.01.2020
https://doi.org/10.24330/ieja.662972

Öz

Here we introduce and study the concept of relative superfluous injectivity, which is a generalization of relative injectivity. We show some of the properties that hold true for relative injectivity still hold for relative superfluous injectivity. We also introduce and characterize the new concept of superfluous extending modules. Finally, we make use of relative superfluous injectivity to study direct sums of superfluous extending modules.

Kaynakça

  • F. W. Anderson and K. R. Fuller, Rings and Categories of Modules, Second edition, Graduate Texts in Mathematics, 13, Springer-Verlag, New York, 1992.
  • W. D. Burgess and R. Raphael, On modules with the absolute direct summand property, Ring Theory (Granville, OH, 1992), World Sci. Publ., River Edge, NJ, (1993), 137-148.
  • H. Q. Dinh, A note on pseudo injective modules, Comm. Algebra, 33(2) (2005), 361-369.
  • N. V. Dung, D. V. Huynh, P. F. Smith and R. Wisbaur, Extending Modules, with the collaboration of John Clark and N. Vanaja, Pitman Research Notes in Mathematics Series, 313, Longman Scienti c & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1994.
  • M. A. Kamal and B. J. Muller, Extending modules over commutative domains, Osaka J. Math., 25(3) (1988), 531-538.
  • E. Mermut, C. Santa-Clara and P. F. Smith, Injectivity relative to closed sub- modules, J. Algebra, 321(2) (2009), 548-557.
  • M. Okado, On the decomposition of extending modules, Math. Japon., 29(6) (1984), 939-941.
  • M. F. Yousif and Y. Zhou, FP-injective, simple-injective, and quasi-Frobenius rings, Comm. Algebra, 32(6) (2004), 2273-2285.
Yıl 2020, , 102 - 113, 07.01.2020
https://doi.org/10.24330/ieja.662972

Öz

Kaynakça

  • F. W. Anderson and K. R. Fuller, Rings and Categories of Modules, Second edition, Graduate Texts in Mathematics, 13, Springer-Verlag, New York, 1992.
  • W. D. Burgess and R. Raphael, On modules with the absolute direct summand property, Ring Theory (Granville, OH, 1992), World Sci. Publ., River Edge, NJ, (1993), 137-148.
  • H. Q. Dinh, A note on pseudo injective modules, Comm. Algebra, 33(2) (2005), 361-369.
  • N. V. Dung, D. V. Huynh, P. F. Smith and R. Wisbaur, Extending Modules, with the collaboration of John Clark and N. Vanaja, Pitman Research Notes in Mathematics Series, 313, Longman Scienti c & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1994.
  • M. A. Kamal and B. J. Muller, Extending modules over commutative domains, Osaka J. Math., 25(3) (1988), 531-538.
  • E. Mermut, C. Santa-Clara and P. F. Smith, Injectivity relative to closed sub- modules, J. Algebra, 321(2) (2009), 548-557.
  • M. Okado, On the decomposition of extending modules, Math. Japon., 29(6) (1984), 939-941.
  • M. F. Yousif and Y. Zhou, FP-injective, simple-injective, and quasi-Frobenius rings, Comm. Algebra, 32(6) (2004), 2273-2285.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Manar E. Tabarak Bu kişi benim

M. A. Kamal Bu kişi benim

M. H. Elbaroudy Bu kişi benim

Salah El Din S. Hussien Bu kişi benim

Yayımlanma Tarihi 7 Ocak 2020
Yayımlandığı Sayı Yıl 2020

Kaynak Göster

APA Tabarak, M. E., Kamal, M. A., Elbaroudy, M. H., Hussien, S. E. D. S. (2020). ON S-EXTENDING MODULES. International Electronic Journal of Algebra, 27(27), 102-113. https://doi.org/10.24330/ieja.662972
AMA Tabarak ME, Kamal MA, Elbaroudy MH, Hussien SEDS. ON S-EXTENDING MODULES. IEJA. Ocak 2020;27(27):102-113. doi:10.24330/ieja.662972
Chicago Tabarak, Manar E., M. A. Kamal, M. H. Elbaroudy, ve Salah El Din S. Hussien. “ON S-EXTENDING MODULES”. International Electronic Journal of Algebra 27, sy. 27 (Ocak 2020): 102-13. https://doi.org/10.24330/ieja.662972.
EndNote Tabarak ME, Kamal MA, Elbaroudy MH, Hussien SEDS (01 Ocak 2020) ON S-EXTENDING MODULES. International Electronic Journal of Algebra 27 27 102–113.
IEEE M. E. Tabarak, M. A. Kamal, M. H. Elbaroudy, ve S. E. D. S. Hussien, “ON S-EXTENDING MODULES”, IEJA, c. 27, sy. 27, ss. 102–113, 2020, doi: 10.24330/ieja.662972.
ISNAD Tabarak, Manar E. vd. “ON S-EXTENDING MODULES”. International Electronic Journal of Algebra 27/27 (Ocak 2020), 102-113. https://doi.org/10.24330/ieja.662972.
JAMA Tabarak ME, Kamal MA, Elbaroudy MH, Hussien SEDS. ON S-EXTENDING MODULES. IEJA. 2020;27:102–113.
MLA Tabarak, Manar E. vd. “ON S-EXTENDING MODULES”. International Electronic Journal of Algebra, c. 27, sy. 27, 2020, ss. 102-13, doi:10.24330/ieja.662972.
Vancouver Tabarak ME, Kamal MA, Elbaroudy MH, Hussien SEDS. ON S-EXTENDING MODULES. IEJA. 2020;27(27):102-13.