Research Article
BibTex RIS Cite

Year 2007, Volume: 36 Issue: 1 , 37 - 41 , 01.01.2007

G. Bilhan C. Hatipoğlu

https://izlik.org/JA72YL57KM

Abstract

References

  • Alizade, R. and B¨uy¨uka¸sık, E. Cofinitely weak supplemented modules, Comm. Algebra 31(11), 5377–5390, 2003.
  • G¨ung¨oro˘glu, G. Coatomic Modules, Far East J. Math. Sciences, Special volume 2, 153–162, 1998.
  • G¨ung¨oro˘glu, G. and Harmancı, A. Coatomic Modules over Dedekind Domains, Hacettepe Bulletin of Natural Sciences and Engineering Series B 28, 25–29, 1999.
  • Lomp, C. On semilocal modules and rings, Comm. Algebra 27 (4), 1921–1935, 1999.
  • Rudlof, P. On the structure of couniform and complemented modules, J. Pure Appl. Algebra 74(3), 281–305, 1991.
  • Z¨oschinger, H. Koatomare Moduln, Math. Z. 170, 221–232, 1980.
  • Z¨oschinger, H. Komplemente als direkte Summanden III, Arch. Math. (Basel) 46 (2), 125– 135, 1986.

Finitely Coatomic Modules

Year 2007, Volume: 36 Issue: 1 , 37 - 41 , 01.01.2007

G. Bilhan C. Hatipoğlu

https://izlik.org/JA72YL57KM

Abstract

In this paper, we introduce finitely coatomic modules. We prove that any direct sum of finitely coatomic modules is finitely coatomic. Also we prove, if M is a module with finitely generated Jacobson radical, then M is f-semilocal if and only if M is finitely weakly supplemented and f-coatomic.

Keywords

Coatomic modules Supplemented modules 2000 AMS Classification: Primary: 16 D 10

References

  • Alizade, R. and B¨uy¨uka¸sık, E. Cofinitely weak supplemented modules, Comm. Algebra 31(11), 5377–5390, 2003.
  • G¨ung¨oro˘glu, G. Coatomic Modules, Far East J. Math. Sciences, Special volume 2, 153–162, 1998.
  • G¨ung¨oro˘glu, G. and Harmancı, A. Coatomic Modules over Dedekind Domains, Hacettepe Bulletin of Natural Sciences and Engineering Series B 28, 25–29, 1999.
  • Lomp, C. On semilocal modules and rings, Comm. Algebra 27 (4), 1921–1935, 1999.
  • Rudlof, P. On the structure of couniform and complemented modules, J. Pure Appl. Algebra 74(3), 281–305, 1991.
  • Z¨oschinger, H. Koatomare Moduln, Math. Z. 170, 221–232, 1980.
  • Z¨oschinger, H. Komplemente als direkte Summanden III, Arch. Math. (Basel) 46 (2), 125– 135, 1986.
There are 7 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Research Article
Authors

G. Bilhan This is me

C. Hatipoğlu This is me

Publication Date January 1, 2007
IZ https://izlik.org/JA72YL57KM
Published in Issue Year 2007 Volume: 36 Issue: 1

Cite

APA Bilhan, G., & Hatipoğlu, C. (2007). Finitely Coatomic Modules. Hacettepe Journal of Mathematics and Statistics, 36(1), 37-41. https://izlik.org/JA72YL57KM
AMA 1.Bilhan G, Hatipoğlu C. Finitely Coatomic Modules. Hacettepe Journal of Mathematics and Statistics. 2007;36(1):37-41. https://izlik.org/JA72YL57KM
Chicago Bilhan, G., and C. Hatipoğlu. 2007. “Finitely Coatomic Modules”. Hacettepe Journal of Mathematics and Statistics 36 (1): 37-41. https://izlik.org/JA72YL57KM.
EndNote Bilhan G, Hatipoğlu C (January 1, 2007) Finitely Coatomic Modules. Hacettepe Journal of Mathematics and Statistics 36 1 37–41.
IEEE [1]G. Bilhan and C. Hatipoğlu, “Finitely Coatomic Modules”, Hacettepe Journal of Mathematics and Statistics, vol. 36, no. 1, pp. 37–41, Jan. 2007, [Online]. Available: https://izlik.org/JA72YL57KM
ISNAD Bilhan, G. - Hatipoğlu, C. “Finitely Coatomic Modules”. Hacettepe Journal of Mathematics and Statistics 36/1 (January 1, 2007): 37-41. https://izlik.org/JA72YL57KM.
JAMA 1.Bilhan G, Hatipoğlu C. Finitely Coatomic Modules. Hacettepe Journal of Mathematics and Statistics. 2007;36:37–41.
MLA Bilhan, G., and C. Hatipoğlu. “Finitely Coatomic Modules”. Hacettepe Journal of Mathematics and Statistics, vol. 36, no. 1, Jan. 2007, pp. 37-41, https://izlik.org/JA72YL57KM.
Vancouver 1.G. Bilhan, C. Hatipoğlu. Finitely Coatomic Modules. Hacettepe Journal of Mathematics and Statistics [Internet]. 2007 Jan. 1;36(1):37-41. Available from: https://izlik.org/JA72YL57KM

For more information about the journal, please visit: https://dergipark.org.tr/en/pub/hujms