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Graded weakly semiprime submodules of graded multiplication modules

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Abstract

In this work we study the graded weakly semiprime submodules and give some basic results about graded weakly semiprime submodules of graded modules. Special attention has been paid, when modules are multiplication, to find extra properties of these submodules.

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References

  1. P. Deligne, Quantum Fields and Strings: A course for Mathematicians, (A.M.S., 1999).

    MATH  Google Scholar 

  2. S. Ebrahimi Atani, Chiang Mai J. Sci. 33(1), 3 (2006).

    Google Scholar 

  3. S. Ebrahimi Atani, Turk J. Math. 30, 351 (2006).

    MathSciNet  MATH  Google Scholar 

  4. S. Ebrahimi Atani, Quasigroups and Related Systems 13, 185 (2005).

    MathSciNet  MATH  Google Scholar 

  5. S. Ebrahimi Atani, Int. Math. Forum 1(2), 61 (2006).

    MathSciNet  MATH  Google Scholar 

  6. S. Ebrahimi Atani and R. Ebrahimi Atani, Turk J. Math. 33, 1 (2009).

    Google Scholar 

  7. S. Ebrahimi Atani and F. Farzalipour, Int. Math. Forum 1(38), 1871 (2006).

    MathSciNet  MATH  Google Scholar 

  8. F. Farzalipour and P. Ghiasvand, Thai J.Math. 9(1), 49 (2011).

    MathSciNet  Google Scholar 

  9. P. Ghiasvand and F. Farzalipour, Int. J. Alg. 4(9), 429 (2010).

    MathSciNet  MATH  Google Scholar 

  10. Kürsat Hakan Oral, Ünsal Tekir and Ahmet Göksel Agargün, On graded prime and primary submodules, Turk J. Math. 34, 1 (2010).

    Google Scholar 

  11. Ameer Jaber, Turk J.Math. 35, 1 (2011).

    MathSciNet  Google Scholar 

  12. Hani A. Khashan, Int. J. Alg. 2(16), 779 (2008).

    MathSciNet  MATH  Google Scholar 

  13. I. Kolár, P. W. Michor, and J. Slovák, Natural Operations in Differential Geometry (Springer-Verlag, 2010).

    Google Scholar 

  14. D.G. Northcott, Lessons on rings, modules, and multiplicities (Cambridge Univ. Press, Cambridge, 1968).

    Book  MATH  Google Scholar 

  15. A. Rogers, Supermanifolds: Theory and Applications (World Sci. Publ., 2007).

    Book  MATH  Google Scholar 

  16. H. A. Tavallaee, Associated prime submodules of certain weak multiplication modules, To appear in Houston Journal of Mathematics.

  17. H. A. Tavallaee and R. Mahtabi Oghani, Thai J.Math. 9(2), 433 (2011).

    Google Scholar 

  18. H. A. Tavallaee, M. Mahtabi Oghani and R. Mahtabi Oghani, A note on F-weak multiplication modules, To appear in the Bulletin of the Malaysian Mathematical Sciences Society.

  19. Ü. Tekir, Int. Math. Forum 2(29), 1415 (2007).

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. School of Mathematics Iran University of Science and Technology Narmak, Tehran, 16846-13114, Iran

    Hamid Agha Tavallaee & Masoud Zolfaghari

Authors
  1. Hamid Agha Tavallaee
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  2. Masoud Zolfaghari
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Correspondence to Hamid Agha Tavallaee.

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Submitted by M. M. Arslanov

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Tavallaee, H.A., Zolfaghari, M. Graded weakly semiprime submodules of graded multiplication modules. Lobachevskii J Math 34, 61–67 (2013). https://doi.org/10.1134/S1995080213010113

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  • DOI: https://doi.org/10.1134/S1995080213010113

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