111
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Minimal Zero-Dimensional Extensions of Rings of Dimension Greater than One

&
Pages 3792-3800 | Received 03 Dec 2010, Published online: 11 Sep 2012

REFERENCES

  • Arapović , M. ( 1983 ). Characterization of the 0-dimensional rings . Glasnik Mat. 18 : 39 – 46 .
  • Arapović , M. ( 1983 ). The minimal 0-dimensional overrings of commutative rings . Glasnik Mat. 18 : 47 – 52 .
  • Brewer , J. W. , Richman , F. ( 2006 ). Subrings of zero-dimensional rings . In: Multiplicative Ideal Theory in Commutative Algebra . New York : Springer , pp. 73 – 88 .
  • Chiorescu , M. ( 2009 ). Minimal zero-dimensional extensions . J. Algebra 322 : 259 – 269 .
  • Hochster , M. ( 1969 ). Prime ideal structure in commutative rings . Trans. Amer. Math. Soc 137 : 43 – 60 .
  • Jacobson , N. ( 1985 ). Basic Algebra I. , 2nd ed. New York : W. H. Freeman and Company .
  • Lewis , W. J. ( 1973 ). The spectrum of a ring as a partially ordered set . J. Algebra 25 : 419 – 434 .
  • Ohm , J. , Pendleton , R. ( 1968 ). Rings with Noetherian spectrum . Duke Math. J. 35 : 631 – 640 .
  • Wiegand , R. , Wiegand , S. ( 2010 ). Prime ideals in noetherian rings: a survey . In: Ring and Module Theory . Basel : Springer , pp. 175 – 195 .
  • Communicated by R. Wiegand.

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.