Araştırma Makalesi
BibTex RIS Kaynak Göster

W-Coatomic Modules

Yıl 2010, Cilt: 7 Sayı: 1, - , 01.02.2010

Öz

In this paper we introduce w-coatomic modules and some of their properties.
We prove that the finite sum of w-coatomic modules is w-coatomic. It is shown that
w-coatomic modules are closed under extensions. It is proved that if an R-module M is
reduced and every proper semisimple submodule N of M has a supplement in M, then M
is w-coatomic.

Kaynakça

  • [1] G. G¨ung¨oro˘glu, Coatomic Modules, Far East J. Math. Sci. Special Volume, Part II (1998), 153–162.
  • [2] G. G¨ung¨oro˘glu and A. Harmancı, Coatomic Modules over Dedekind Domains, Hacet. Bull. Nat. Sci. Eng. Ser. B 28 (1999), 25–29.
  • [3] H. Z¨oschinger, Koatomare Moduln, Math. Z. 170 (1980), 221–232.
  • [4] G. Bilhan and C. Hatipo˘glu, Finitely Coatomic Modules, Hacet. J. Math. Stat. 36 (2007), 37–41.
  • [5] C. Faith, Algebra: Rings, Modules and Categories I, Springer-Verlag, Berlin-Heidelberg-New York 1973.
  • [6] F. Kasch, Modules and Rings, London Mathematical Society Monographs, Vol. 17, Academic Press, London 1982.
  • [7] R. Wisbauer, Foundations of module and ring theory, Gordon and Breach, Philadelphia 1991.
  • [8] H. Z¨oschinger, Komplementierte moduln ¨uber Dedekindringen, J. Algebra. 29 (1974), 42–56.
  • [9] J. Clark, C. Lomp, N. Vanaja, and R. Wisbauer, Lifting Modules, Supplements and projectivity in module theory, Frontiers in Mathematics, Birkhauser Verlag, Basel 2006.
  • [10] E. B¨uy¨uka¸sık and C. Lomp, On A Recent Generalization of Semiperfect Rings, Bull. Austral. Math. Soc. 78 (2008), 317–325.
Yıl 2010, Cilt: 7 Sayı: 1, - , 01.02.2010

Öz

Kaynakça

  • [1] G. G¨ung¨oro˘glu, Coatomic Modules, Far East J. Math. Sci. Special Volume, Part II (1998), 153–162.
  • [2] G. G¨ung¨oro˘glu and A. Harmancı, Coatomic Modules over Dedekind Domains, Hacet. Bull. Nat. Sci. Eng. Ser. B 28 (1999), 25–29.
  • [3] H. Z¨oschinger, Koatomare Moduln, Math. Z. 170 (1980), 221–232.
  • [4] G. Bilhan and C. Hatipo˘glu, Finitely Coatomic Modules, Hacet. J. Math. Stat. 36 (2007), 37–41.
  • [5] C. Faith, Algebra: Rings, Modules and Categories I, Springer-Verlag, Berlin-Heidelberg-New York 1973.
  • [6] F. Kasch, Modules and Rings, London Mathematical Society Monographs, Vol. 17, Academic Press, London 1982.
  • [7] R. Wisbauer, Foundations of module and ring theory, Gordon and Breach, Philadelphia 1991.
  • [8] H. Z¨oschinger, Komplementierte moduln ¨uber Dedekindringen, J. Algebra. 29 (1974), 42–56.
  • [9] J. Clark, C. Lomp, N. Vanaja, and R. Wisbauer, Lifting Modules, Supplements and projectivity in module theory, Frontiers in Mathematics, Birkhauser Verlag, Basel 2006.
  • [10] E. B¨uy¨uka¸sık and C. Lomp, On A Recent Generalization of Semiperfect Rings, Bull. Austral. Math. Soc. 78 (2008), 317–325.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Makaleler
Yazarlar

Gökhan Bilhan Bu kişi benim

Tuğba Güroğlu Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2010
Yayımlandığı Sayı Yıl 2010 Cilt: 7 Sayı: 1

Kaynak Göster

APA Bilhan, G., & Güroğlu, T. (2010). W-Coatomic Modules. Cankaya University Journal of Science and Engineering, 7(1).
AMA Bilhan G, Güroğlu T. W-Coatomic Modules. CUJSE. Şubat 2010;7(1).
Chicago Bilhan, Gökhan, ve Tuğba Güroğlu. “W-Coatomic Modules”. Cankaya University Journal of Science and Engineering 7, sy. 1 (Şubat 2010).
EndNote Bilhan G, Güroğlu T (01 Şubat 2010) W-Coatomic Modules. Cankaya University Journal of Science and Engineering 7 1
IEEE G. Bilhan ve T. Güroğlu, “W-Coatomic Modules”, CUJSE, c. 7, sy. 1, 2010.
ISNAD Bilhan, Gökhan - Güroğlu, Tuğba. “W-Coatomic Modules”. Cankaya University Journal of Science and Engineering 7/1 (Şubat 2010).
JAMA Bilhan G, Güroğlu T. W-Coatomic Modules. CUJSE. 2010;7.
MLA Bilhan, Gökhan ve Tuğba Güroğlu. “W-Coatomic Modules”. Cankaya University Journal of Science and Engineering, c. 7, sy. 1, 2010.
Vancouver Bilhan G, Güroğlu T. W-Coatomic Modules. CUJSE. 2010;7(1).