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STRONGLY EXTENDING MODULES

Year 2013, Volume: 42 Issue: 5, 465 - 478, 01.05.2013

Abstract

In this paper, we recall the concept of strong largeness to define strongly extending modules which are particular extending modules, and investigate some properties of strongly extending modules. We supply some examples showing that extending modules need not be strongly extending. Under some conditions we prove that extending modules are strongly extending.

References

  • Anderson, F. W. and Fuller, K. R. Rings and Categories of Modules, (Springer-Verlag, New York, 1992).
  • Chatters, A. W and Khuri, S. M. Endomorphism rings of modules over non-singular CS rings, J. London Math. Soc. 21 No 2, 434–444, 1980.
  • Dung, N. V., Huynh, D. V., Smith, P. F. and Wisbauer, R. Extending modules, (Pitman Research Notes in Math. Ser. 313, 1994).
  • Harmanci, A. and Smith, P. F. Finite direct sums of CS-modules, Houston J. Math. 19 No 4, 523–532, 1993.
  • Kamal, M. A. and M¨ uller, B. J. Extending modules over commutative domains, Osaka J. Math. 25, 531–538, 1988.
  • Lam, T. Y. Lectures on Modules and Rings, (Springer-Verlag, New York, 1999). Ozcan, A. C., Harmanci, A. and Smith, P. F. Duo modules, Glasgow Math. J. 48 No 3, 533–545, 2006.
  • Rizvi, S. T. and Roman, C. S. Baer and quasi-Baer modules, Comm. Algebra 32 No 1, 103–123, 2004.
  • Ungor, B., Halicioglu, S., Kamal, M. A and Harmanci, A. Strongly Large Module Extensions, An. S ¸tiint. Univ. Al. I. Cuza Ia¸ si. Mat. (S.N.) 59 No 2, 431–452, 2013.
Year 2013, Volume: 42 Issue: 5, 465 - 478, 01.05.2013

Abstract

References

  • Anderson, F. W. and Fuller, K. R. Rings and Categories of Modules, (Springer-Verlag, New York, 1992).
  • Chatters, A. W and Khuri, S. M. Endomorphism rings of modules over non-singular CS rings, J. London Math. Soc. 21 No 2, 434–444, 1980.
  • Dung, N. V., Huynh, D. V., Smith, P. F. and Wisbauer, R. Extending modules, (Pitman Research Notes in Math. Ser. 313, 1994).
  • Harmanci, A. and Smith, P. F. Finite direct sums of CS-modules, Houston J. Math. 19 No 4, 523–532, 1993.
  • Kamal, M. A. and M¨ uller, B. J. Extending modules over commutative domains, Osaka J. Math. 25, 531–538, 1988.
  • Lam, T. Y. Lectures on Modules and Rings, (Springer-Verlag, New York, 1999). Ozcan, A. C., Harmanci, A. and Smith, P. F. Duo modules, Glasgow Math. J. 48 No 3, 533–545, 2006.
  • Rizvi, S. T. and Roman, C. S. Baer and quasi-Baer modules, Comm. Algebra 32 No 1, 103–123, 2004.
  • Ungor, B., Halicioglu, S., Kamal, M. A and Harmanci, A. Strongly Large Module Extensions, An. S ¸tiint. Univ. Al. I. Cuza Ia¸ si. Mat. (S.N.) 59 No 2, 431–452, 2013.
There are 8 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Burcu Ungor This is me

Sait Halicioglu This is me

Publication Date May 1, 2013
Published in Issue Year 2013 Volume: 42 Issue: 5

Cite

APA Ungor, B., & Halicioglu, S. (2013). STRONGLY EXTENDING MODULES. Hacettepe Journal of Mathematics and Statistics, 42(5), 465-478.
AMA Ungor B, Halicioglu S. STRONGLY EXTENDING MODULES. Hacettepe Journal of Mathematics and Statistics. May 2013;42(5):465-478.
Chicago Ungor, Burcu, and Sait Halicioglu. “STRONGLY EXTENDING MODULES”. Hacettepe Journal of Mathematics and Statistics 42, no. 5 (May 2013): 465-78.
EndNote Ungor B, Halicioglu S (May 1, 2013) STRONGLY EXTENDING MODULES. Hacettepe Journal of Mathematics and Statistics 42 5 465–478.
IEEE B. Ungor and S. Halicioglu, “STRONGLY EXTENDING MODULES”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 5, pp. 465–478, 2013.
ISNAD Ungor, Burcu - Halicioglu, Sait. “STRONGLY EXTENDING MODULES”. Hacettepe Journal of Mathematics and Statistics 42/5 (May 2013), 465-478.
JAMA Ungor B, Halicioglu S. STRONGLY EXTENDING MODULES. Hacettepe Journal of Mathematics and Statistics. 2013;42:465–478.
MLA Ungor, Burcu and Sait Halicioglu. “STRONGLY EXTENDING MODULES”. Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 5, 2013, pp. 465-78.
Vancouver Ungor B, Halicioglu S. STRONGLY EXTENDING MODULES. Hacettepe Journal of Mathematics and Statistics. 2013;42(5):465-78.