451
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

On the Prime Spectrum of a Module and Zariski Topologies

&
Pages 4461-4475 | Received 27 May 2009, Published online: 20 Jan 2011

REFERENCES

  • Ansari-Toroghy , H. , Ovlyaee-Sarmazdeh , R. ( 2010 ). On the prime spectrum of X-injective modules . Comm. Algebra 38 : 2606 – 2621 .
  • Ansari-Toroghy , H. , Ovlyaee-Sarmazdeh , R. ( 2007 ). On the prime spectrum of a module over a commutative ring . Honam Math. J. 29 : 351 – 366 .
  • Atiyah , M. F. , Macdonald , I. G. ( 1969 ). Introduction to Commutative Algebra . Reading , Mass. : Addison-Wesley .
  • Behboodi , M. , Haddadi , M. R. ( 2008 ). Clasical Zariski topology of modules and spectral spaces i . Int. Elec. J. Algebra 4 : 104 – 130 .
  • Behboodi , M. , Haddadi , M. R. ( 2008 ). Clasical Zariski topology of modules and spectral spaces ii . Int. Elec. J. Algebra 4 : 131 – 148 .
  • Brodmann , M. P. , Sharp , R. Y. ( 1998 ). Local Cohomology and Algebraic Introduction with Geometric Applications . Cambridge : Cambridge University Press .
  • Duraivel , T. ( 1994 ). Topology on spectrum of modules . J. Ramanujan Math. Soc. 9 : 25 – 34 .
  • Hochster , M. ( 1969 ). Prime ideal structure in commutative rings . Trans. Amer. Math. Soc. 142 : 43 – 60 .
  • Lu , C.-P. ( 1984 ). Prime submodules of modules . Comment. Math. Univ. St. Pauli 33 : 61 – 69 .
  • Lu , C.-P. ( 1995 ). Spectra of modules . Comm. Algebra 23 : 3741 – 3752 .
  • Lu , C.-P. ( 1999 ). The Zariski topology on the prime spectrum of a module . Houston J. Math. 25 : 417 – 432 .
  • Lu , C.-P. ( 2003 ). Saturations of submodules . Comm. Algebra 31 : 2655 – 2673 .
  • Lu , C.-P. ( 2007 ). A module whose prime spectrum has the surjective natural map . Houston J. Math. 33 : 125 – 143 .
  • McCasland , R. L. , Moore , M. E. , Smith , P. F. ( 1997 ). On the spectrum of a module over a commutative ring . Comm. Algebra 25 : 79 – 103 .
  • McCasland , R. L. , Smith , P. F. ( 1993 ). Prime submodules of noetherian modules . Rocky Mtn. J. Math 23 : 1041 – 1062 .
  • Zhang , G. , Wang , F. , Tong , W. ( 2004 ). Multiplication modules in which every prime submodule is contained in a unique maximal submodule . Comm. Algebra 32 : 1945 – 1959 .
  • Communicated by I. Swanson.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.