Research Article
BibTex RIS Cite

W-Coatomic Modules

Year 2010, Volume: 7 Issue: 1, - , 01.02.2010

Abstract

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.

References

  • [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.
Year 2010, Volume: 7 Issue: 1, - , 01.02.2010

Abstract

References

  • [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.
There are 10 citations in total.

Details

Subjects Engineering
Journal Section Articles
Authors

Gökhan Bilhan This is me

Tuğba Güroğlu This is me

Publication Date February 1, 2010
Published in Issue Year 2010 Volume: 7 Issue: 1

Cite

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. February 2010;7(1).
Chicago Bilhan, Gökhan, and Tuğba Güroğlu. “W-Coatomic Modules”. Cankaya University Journal of Science and Engineering 7, no. 1 (February 2010).
EndNote Bilhan G, Güroğlu T (February 1, 2010) W-Coatomic Modules. Cankaya University Journal of Science and Engineering 7 1
IEEE G. Bilhan and T. Güroğlu, “W-Coatomic Modules”, CUJSE, vol. 7, no. 1, 2010.
ISNAD Bilhan, Gökhan - Güroğlu, Tuğba. “W-Coatomic Modules”. Cankaya University Journal of Science and Engineering 7/1 (February 2010).
JAMA Bilhan G, Güroğlu T. W-Coatomic Modules. CUJSE. 2010;7.
MLA Bilhan, Gökhan and Tuğba Güroğlu. “W-Coatomic Modules”. Cankaya University Journal of Science and Engineering, vol. 7, no. 1, 2010.
Vancouver Bilhan G, Güroğlu T. W-Coatomic Modules. CUJSE. 2010;7(1).