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THE IDEAL τ(M) AND LOCALLY CYCLIC PROJECTIVE MODULES

  • Cho, Yong Hwan (Department of Mathematics Education and Institute of Pure and Applied Mathematics, Chonbuk National University)
  • Received : 2014.02.17
  • Accepted : 2014.03.20
  • Published : 2014.06.25

Abstract

In this paper, we give some properties on projective modules, locally cyclic projective modules and the ideal ${\tau}(M)$.

Keywords

References

  1. M.M. Ali, Some Remarks on Multiplication and Projective Modules II, Comm. in Algebra 41 (2013), 195-214. https://doi.org/10.1080/00927872.2011.628724
  2. M.M. Ali and D.J. Smith, Locally cyclic projective Modules, New Zealand J. of Math. 34 (2005), 11-23.
  3. M.M. Ali and D.J. Smith, Pure Submodules of Multiplication Modules, Beitrage Algebra Geom. 45(1) (2004), 61-74.
  4. M.M. Ali. and D.J. Smith, Some Remarks on Multiplication and Projective Mod-ules, Comm. in Algebra 32(10) (2004), 3897-3907. https://doi.org/10.1081/AGB-200027780
  5. D.D. Anderson and Yousef Al-Shanifi, Multiplication modules and the ideal $\theta$(M), Comm. in Algebra 30(7) (2002), 3383-3390. https://doi.org/10.1081/AGB-120004493
  6. Z.E. Bast and P.F. Smith, Multiplication Modules, Comm. in Algebra 16(4) (1988), 755-779. https://doi.org/10.1080/00927878808823601
  7. A. Barnard, Multiplication Modules, Journal of Algebra 71 (1981), 174-178. https://doi.org/10.1016/0021-8693(81)90112-5
  8. C. Faith, Algebra I: Rings, Modules and Categories, Springer-Verlag, 1981
  9. Sh. Ghalandarzadeh, P. Malakoti rad, S. Shirinkam, Multiplication Modules and Cohen's Theorem, Math. Sciences 2(3) (2008), 251-260.
  10. A.G. Naum and A.S. Mijbass, Weak Cancellation Modules, Kuyngpook Math. J 37 (1997), 73-82.
  11. D.G. Northcott, Lessons on Rings, Modules and Multiplicities, Cambridge University Press, 1968.

Cited by

  1. (p, q)-Extended Bessel and Modified Bessel Functions of the First Kind vol.72, pp.1-2, 2017, https://doi.org/10.1007/s00025-016-0649-1